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Finding the Third Proportional to 582,207.75 and 801,712.69

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Solution

The third proportional to 582,207.75 and 801,712.69 is: 1,103,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,207.75 : 801,712.69 = 801,712.69 : x
  2. Step 2: Convert to fraction form
    582,207.75/801,712.69 = 801,712.69/x
  3. Step 3: Cross multiply
    582,207.75x = 801,712.69 × 801,712.69
  4. Step 4: Simplify right side
    582,207.75x = 642,743,233,298.47
  5. Step 5: Solve for x
    x = 642,743,233,298.47/582,207.75
  6. Step 6: Final answer
    x = 1,103,975.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.