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Finding the Third Proportional to 342,753,054 and 522,160,569

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Solution

The third proportional to 342,753,054 and 522,160,569 is: 795,475,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,753,054 : 522,160,569 = 522,160,569 : x
  2. Step 2: Convert to fraction form
    342,753,054/522,160,569 = 522,160,569/x
  3. Step 3: Cross multiply
    342,753,054x = 522,160,569 × 522,160,569
  4. Step 4: Simplify right side
    342,753,054x = 272,651,659,818,403,776
  5. Step 5: Solve for x
    x = 272,651,659,818,403,776/342,753,054
  6. Step 6: Final answer
    x = 795,475,508.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.