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Finding the Third Proportional to 560,538 and 868,347

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Solution

The third proportional to 560,538 and 868,347 is: 1,345,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,538 : 868,347 = 868,347 : x
  2. Step 2: Convert to fraction form
    560,538/868,347 = 868,347/x
  3. Step 3: Cross multiply
    560,538x = 868,347 × 868,347
  4. Step 4: Simplify right side
    560,538x = 754,026,512,409
  5. Step 5: Solve for x
    x = 754,026,512,409/560,538
  6. Step 6: Final answer
    x = 1,345,183.58

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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.