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Finding the Third Proportional to 342,670,344 and 514,765,128

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Solution

The third proportional to 342,670,344 and 514,765,128 is: 773,288,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,670,344 : 514,765,128 = 514,765,128 : x
  2. Step 2: Convert to fraction form
    342,670,344/514,765,128 = 514,765,128/x
  3. Step 3: Cross multiply
    342,670,344x = 514,765,128 × 514,765,128
  4. Step 4: Simplify right side
    342,670,344x = 264,983,137,004,856,384
  5. Step 5: Solve for x
    x = 264,983,137,004,856,384/342,670,344
  6. Step 6: Final answer
    x = 773,288,793.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.