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Finding the Third Proportional to 560,224 and 868,902

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Solution

The third proportional to 560,224 and 868,902 is: 1,347,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,224 : 868,902 = 868,902 : x
  2. Step 2: Convert to fraction form
    560,224/868,902 = 868,902/x
  3. Step 3: Cross multiply
    560,224x = 868,902 × 868,902
  4. Step 4: Simplify right side
    560,224x = 754,990,685,604
  5. Step 5: Solve for x
    x = 754,990,685,604/560,224
  6. Step 6: Final answer
    x = 1,347,658.59

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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.