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Finding the Third Proportional to 342,691,260.75 and 522,071,925.75

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Solution

The third proportional to 342,691,260.75 and 522,071,925.75 is: 795,348,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,691,260.75 : 522,071,925.75 = 522,071,925.75 : x
  2. Step 2: Convert to fraction form
    342,691,260.75/522,071,925.75 = 522,071,925.75/x
  3. Step 3: Cross multiply
    342,691,260.75x = 522,071,925.75 × 522,071,925.75
  4. Step 4: Simplify right side
    342,691,260.75x = 272,559,095,656,313,504
  5. Step 5: Solve for x
    x = 272,559,095,656,313,504/342,691,260.75
  6. Step 6: Final answer
    x = 795,348,836.91

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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.