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Finding the Third Proportional to 504,596.25 and 840,952.13

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Solution

The third proportional to 504,596.25 and 840,952.13 is: 1,401,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,596.25 : 840,952.13 = 840,952.13 : x
  2. Step 2: Convert to fraction form
    504,596.25/840,952.13 = 840,952.13/x
  3. Step 3: Cross multiply
    504,596.25x = 840,952.13 × 840,952.13
  4. Step 4: Simplify right side
    504,596.25x = 707,200,476,542.02
  5. Step 5: Solve for x
    x = 707,200,476,542.02/504,596.25
  6. Step 6: Final answer
    x = 1,401,517.50

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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.