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Finding the Third Proportional to 495,508 and 731,598

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Solution

The third proportional to 495,508 and 731,598 is: 1,080,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,508 : 731,598 = 731,598 : x
  2. Step 2: Convert to fraction form
    495,508/731,598 = 731,598/x
  3. Step 3: Cross multiply
    495,508x = 731,598 × 731,598
  4. Step 4: Simplify right side
    495,508x = 535,235,633,604
  5. Step 5: Solve for x
    x = 535,235,633,604/495,508
  6. Step 6: Final answer
    x = 1,080,175.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.