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Finding the Third Proportional to 454,401 and 712,872

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Solution

The third proportional to 454,401 and 712,872 is: 1,118,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,401 : 712,872 = 712,872 : x
  2. Step 2: Convert to fraction form
    454,401/712,872 = 712,872/x
  3. Step 3: Cross multiply
    454,401x = 712,872 × 712,872
  4. Step 4: Simplify right side
    454,401x = 508,186,488,384
  5. Step 5: Solve for x
    x = 508,186,488,384/454,401
  6. Step 6: Final answer
    x = 1,118,365.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.