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Finding the Third Proportional to 504,174 and 781,049

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Solution

The third proportional to 504,174 and 781,049 is: 1,209,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,174 : 781,049 = 781,049 : x
  2. Step 2: Convert to fraction form
    504,174/781,049 = 781,049/x
  3. Step 3: Cross multiply
    504,174x = 781,049 × 781,049
  4. Step 4: Simplify right side
    504,174x = 610,037,540,401
  5. Step 5: Solve for x
    x = 610,037,540,401/504,174
  6. Step 6: Final answer
    x = 1,209,974.22

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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.