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Finding the Third Proportional to 560,196 and 868,860

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Solution

The third proportional to 560,196 and 868,860 is: 1,347,595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,196 : 868,860 = 868,860 : x
  2. Step 2: Convert to fraction form
    560,196/868,860 = 868,860/x
  3. Step 3: Cross multiply
    560,196x = 868,860 × 868,860
  4. Step 4: Simplify right side
    560,196x = 754,917,699,600
  5. Step 5: Solve for x
    x = 754,917,699,600/560,196
  6. Step 6: Final answer
    x = 1,347,595.66

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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.