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Finding the Third Proportional to 504,171 and 781,044

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Solution

The third proportional to 504,171 and 781,044 is: 1,209,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,171 : 781,044 = 781,044 : x
  2. Step 2: Convert to fraction form
    504,171/781,044 = 781,044/x
  3. Step 3: Cross multiply
    504,171x = 781,044 × 781,044
  4. Step 4: Simplify right side
    504,171x = 610,029,729,936
  5. Step 5: Solve for x
    x = 610,029,729,936/504,171
  6. Step 6: Final answer
    x = 1,209,965.92

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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.