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Finding the Third Proportional to 495,891 and 736,542

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Solution

The third proportional to 495,891 and 736,542 is: 1,093,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,891 : 736,542 = 736,542 : x
  2. Step 2: Convert to fraction form
    495,891/736,542 = 736,542/x
  3. Step 3: Cross multiply
    495,891x = 736,542 × 736,542
  4. Step 4: Simplify right side
    495,891x = 542,494,117,764
  5. Step 5: Solve for x
    x = 542,494,117,764/495,891
  6. Step 6: Final answer
    x = 1,093,978.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.