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Finding the Third Proportional to 504,180 and 781,060

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Solution

The third proportional to 504,180 and 781,060 is: 1,209,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,180 : 781,060 = 781,060 : x
  2. Step 2: Convert to fraction form
    504,180/781,060 = 781,060/x
  3. Step 3: Cross multiply
    504,180x = 781,060 × 781,060
  4. Step 4: Simplify right side
    504,180x = 610,054,723,600
  5. Step 5: Solve for x
    x = 610,054,723,600/504,180
  6. Step 6: Final answer
    x = 1,209,993.90

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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.