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Finding the Third Proportional to 581,644.13 and 873,081

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Solution

The third proportional to 581,644.13 and 873,081 is: 1,310,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,644.13 : 873,081 = 873,081 : x
  2. Step 2: Convert to fraction form
    581,644.13/873,081 = 873,081/x
  3. Step 3: Cross multiply
    581,644.13x = 873,081 × 873,081
  4. Step 4: Simplify right side
    581,644.13x = 762,270,432,561
  5. Step 5: Solve for x
    x = 762,270,432,561/581,644.13
  6. Step 6: Final answer
    x = 1,310,544.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.