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Finding the Third Proportional to 332,585 and 513,839

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Solution

The third proportional to 332,585 and 513,839 is: 793,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,585 : 513,839 = 513,839 : x
  2. Step 2: Convert to fraction form
    332,585/513,839 = 513,839/x
  3. Step 3: Cross multiply
    332,585x = 513,839 × 513,839
  4. Step 4: Simplify right side
    332,585x = 264,030,517,921
  5. Step 5: Solve for x
    x = 264,030,517,921/332,585
  6. Step 6: Final answer
    x = 793,873.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.