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Finding the Third Proportional to 360,367 and 506,902

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Solution

The third proportional to 360,367 and 506,902 is: 713,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,367 : 506,902 = 506,902 : x
  2. Step 2: Convert to fraction form
    360,367/506,902 = 506,902/x
  3. Step 3: Cross multiply
    360,367x = 506,902 × 506,902
  4. Step 4: Simplify right side
    360,367x = 256,949,637,604
  5. Step 5: Solve for x
    x = 256,949,637,604/360,367
  6. Step 6: Final answer
    x = 713,022.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.