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Finding the Third Proportional to 361,504 and 560,432

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Solution

The third proportional to 361,504 and 560,432 is: 868,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,504 : 560,432 = 560,432 : x
  2. Step 2: Convert to fraction form
    361,504/560,432 = 560,432/x
  3. Step 3: Cross multiply
    361,504x = 560,432 × 560,432
  4. Step 4: Simplify right side
    361,504x = 314,084,026,624
  5. Step 5: Solve for x
    x = 314,084,026,624/361,504
  6. Step 6: Final answer
    x = 868,825.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.