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Finding the Third Proportional to 297,508,572 and 645,968,412

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Solution

The third proportional to 297,508,572 and 645,968,412 is: 1,402,565,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,508,572 : 645,968,412 = 645,968,412 : x
  2. Step 2: Convert to fraction form
    297,508,572/645,968,412 = 645,968,412/x
  3. Step 3: Cross multiply
    297,508,572x = 645,968,412 × 645,968,412
  4. Step 4: Simplify right side
    297,508,572x = 417,275,189,301,801,728
  5. Step 5: Solve for x
    x = 417,275,189,301,801,728/297,508,572
  6. Step 6: Final answer
    x = 1,402,565,265.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.