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Finding the Third Proportional to 504,181 and 781,059

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Solution

The third proportional to 504,181 and 781,059 is: 1,209,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,181 : 781,059 = 781,059 : x
  2. Step 2: Convert to fraction form
    504,181/781,059 = 781,059/x
  3. Step 3: Cross multiply
    504,181x = 781,059 × 781,059
  4. Step 4: Simplify right side
    504,181x = 610,053,161,481
  5. Step 5: Solve for x
    x = 610,053,161,481/504,181
  6. Step 6: Final answer
    x = 1,209,988.40

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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.