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Finding the Third Proportional to 552,214 and 755,661

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Solution

The third proportional to 552,214 and 755,661 is: 1,034,062.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,214 : 755,661 = 755,661 : x
  2. Step 2: Convert to fraction form
    552,214/755,661 = 755,661/x
  3. Step 3: Cross multiply
    552,214x = 755,661 × 755,661
  4. Step 4: Simplify right side
    552,214x = 571,023,546,921
  5. Step 5: Solve for x
    x = 571,023,546,921/552,214
  6. Step 6: Final answer
    x = 1,034,062.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.