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Finding the Third Proportional to 567,452 and 843,138

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Solution

The third proportional to 567,452 and 843,138 is: 1,252,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,452 : 843,138 = 843,138 : x
  2. Step 2: Convert to fraction form
    567,452/843,138 = 843,138/x
  3. Step 3: Cross multiply
    567,452x = 843,138 × 843,138
  4. Step 4: Simplify right side
    567,452x = 710,881,687,044
  5. Step 5: Solve for x
    x = 710,881,687,044/567,452
  6. Step 6: Final answer
    x = 1,252,760.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.