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Finding the Third Proportional to 342,361 and 500,863

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Solution

The third proportional to 342,361 and 500,863 is: 732,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,361 : 500,863 = 500,863 : x
  2. Step 2: Convert to fraction form
    342,361/500,863 = 500,863/x
  3. Step 3: Cross multiply
    342,361x = 500,863 × 500,863
  4. Step 4: Simplify right side
    342,361x = 250,863,744,769
  5. Step 5: Solve for x
    x = 250,863,744,769/342,361
  6. Step 6: Final answer
    x = 732,746.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.