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Finding the Third Proportional to 301,929,464.25 and 660,388,504.50

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Solution

The third proportional to 301,929,464.25 and 660,388,504.50 is: 1,444,420,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,929,464.25 : 660,388,504.50 = 660,388,504.50 : x
  2. Step 2: Convert to fraction form
    301,929,464.25/660,388,504.50 = 660,388,504.50/x
  3. Step 3: Cross multiply
    301,929,464.25x = 660,388,504.50 × 660,388,504.50
  4. Step 4: Simplify right side
    301,929,464.25x = 436,112,976,875,746,496
  5. Step 5: Solve for x
    x = 436,112,976,875,746,496/301,929,464.25
  6. Step 6: Final answer
    x = 1,444,420,066.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.