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Finding the Third Proportional to 689,725.13 and 872,647.17

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Solution

The third proportional to 689,725.13 and 872,647.17 is: 1,104,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,725.13 : 872,647.17 = 872,647.17 : x
  2. Step 2: Convert to fraction form
    689,725.13/872,647.17 = 872,647.17/x
  3. Step 3: Cross multiply
    689,725.13x = 872,647.17 × 872,647.17
  4. Step 4: Simplify right side
    689,725.13x = 761,513,086,581.44
  5. Step 5: Solve for x
    x = 761,513,086,581.44/689,725.13
  6. Step 6: Final answer
    x = 1,104,081.99

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.