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Finding the Third Proportional to 342,691,257.38 and 522,071,920.69

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Solution

The third proportional to 342,691,257.38 and 522,071,920.69 is: 795,348,829.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,691,257.38 : 522,071,920.69 = 522,071,920.69 : x
  2. Step 2: Convert to fraction form
    342,691,257.38/522,071,920.69 = 522,071,920.69/x
  3. Step 3: Cross multiply
    342,691,257.38x = 522,071,920.69 × 522,071,920.69
  4. Step 4: Simplify right side
    342,691,257.38x = 272,559,090,370,335,296
  5. Step 5: Solve for x
    x = 272,559,090,370,335,296/342,691,257.38
  6. Step 6: Final answer
    x = 795,348,829.32

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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.