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Finding the Third Proportional to 407,718 and 587,277

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Solution

The third proportional to 407,718 and 587,277 is: 845,913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,718 : 587,277 = 587,277 : x
  2. Step 2: Convert to fraction form
    407,718/587,277 = 587,277/x
  3. Step 3: Cross multiply
    407,718x = 587,277 × 587,277
  4. Step 4: Simplify right side
    407,718x = 344,894,274,729
  5. Step 5: Solve for x
    x = 344,894,274,729/407,718
  6. Step 6: Final answer
    x = 845,913.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.