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Finding the Third Proportional to 301,928,674.50 and 660,386,884.50

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Solution

The third proportional to 301,928,674.50 and 660,386,884.50 is: 1,444,416,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,928,674.50 : 660,386,884.50 = 660,386,884.50 : x
  2. Step 2: Convert to fraction form
    301,928,674.50/660,386,884.50 = 660,386,884.50/x
  3. Step 3: Cross multiply
    301,928,674.50x = 660,386,884.50 × 660,386,884.50
  4. Step 4: Simplify right side
    301,928,674.50x = 436,110,837,219,616,320
  5. Step 5: Solve for x
    x = 436,110,837,219,616,320/301,928,674.50
  6. Step 6: Final answer
    x = 1,444,416,758.17

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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.