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Finding the Third Proportional to 361,998 and 532,453

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Solution

The third proportional to 361,998 and 532,453 is: 783,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,998 : 532,453 = 532,453 : x
  2. Step 2: Convert to fraction form
    361,998/532,453 = 532,453/x
  3. Step 3: Cross multiply
    361,998x = 532,453 × 532,453
  4. Step 4: Simplify right side
    361,998x = 283,506,197,209
  5. Step 5: Solve for x
    x = 283,506,197,209/361,998
  6. Step 6: Final answer
    x = 783,170.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.