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Finding the Third Proportional to 444,084 and 687,346

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Solution

The third proportional to 444,084 and 687,346 is: 1,063,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,084 : 687,346 = 687,346 : x
  2. Step 2: Convert to fraction form
    444,084/687,346 = 687,346/x
  3. Step 3: Cross multiply
    444,084x = 687,346 × 687,346
  4. Step 4: Simplify right side
    444,084x = 472,444,523,716
  5. Step 5: Solve for x
    x = 472,444,523,716/444,084
  6. Step 6: Final answer
    x = 1,063,862.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.