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Finding the Third Proportional to 338,787 and 495,446

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Solution

The third proportional to 338,787 and 495,446 is: 724,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,787 : 495,446 = 495,446 : x
  2. Step 2: Convert to fraction form
    338,787/495,446 = 495,446/x
  3. Step 3: Cross multiply
    338,787x = 495,446 × 495,446
  4. Step 4: Simplify right side
    338,787x = 245,466,738,916
  5. Step 5: Solve for x
    x = 245,466,738,916/338,787
  6. Step 6: Final answer
    x = 724,545.92

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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.