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Finding the Third Proportional to 504,169 and 781,041

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Solution

The third proportional to 504,169 and 781,041 is: 1,209,961.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,169 : 781,041 = 781,041 : x
  2. Step 2: Convert to fraction form
    504,169/781,041 = 781,041/x
  3. Step 3: Cross multiply
    504,169x = 781,041 × 781,041
  4. Step 4: Simplify right side
    504,169x = 610,025,043,681
  5. Step 5: Solve for x
    x = 610,025,043,681/504,169
  6. Step 6: Final answer
    x = 1,209,961.43

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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.