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Finding the Third Proportional to 504,559.13 and 840,901.50

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Solution

The third proportional to 504,559.13 and 840,901.50 is: 1,401,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,559.13 : 840,901.50 = 840,901.50 : x
  2. Step 2: Convert to fraction form
    504,559.13/840,901.50 = 840,901.50/x
  3. Step 3: Cross multiply
    504,559.13x = 840,901.50 × 840,901.50
  4. Step 4: Simplify right side
    504,559.13x = 707,115,332,702.25
  5. Step 5: Solve for x
    x = 707,115,332,702.25/504,559.13
  6. Step 6: Final answer
    x = 1,401,451.88

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.