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Finding the Third Proportional to 342,691,242.75 and 522,071,902.13

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Solution

The third proportional to 342,691,242.75 and 522,071,902.13 is: 795,348,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,691,242.75 : 522,071,902.13 = 522,071,902.13 : x
  2. Step 2: Convert to fraction form
    342,691,242.75/522,071,902.13 = 522,071,902.13/x
  3. Step 3: Cross multiply
    342,691,242.75x = 522,071,902.13 × 522,071,902.13
  4. Step 4: Simplify right side
    342,691,242.75x = 272,559,070,988,415,584
  5. Step 5: Solve for x
    x = 272,559,070,988,415,584/342,691,242.75
  6. Step 6: Final answer
    x = 795,348,806.70

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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.