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Finding the Third Proportional to 301,928,411.25 and 660,386,398.50

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Solution

The third proportional to 301,928,411.25 and 660,386,398.50 is: 1,444,415,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,928,411.25 : 660,386,398.50 = 660,386,398.50 : x
  2. Step 2: Convert to fraction form
    301,928,411.25/660,386,398.50 = 660,386,398.50/x
  3. Step 3: Cross multiply
    301,928,411.25x = 660,386,398.50 × 660,386,398.50
  4. Step 4: Simplify right side
    301,928,411.25x = 436,110,195,323,800,832
  5. Step 5: Solve for x
    x = 436,110,195,323,800,832/301,928,411.25
  6. Step 6: Final answer
    x = 1,444,415,891.56

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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.