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Finding the Third Proportional to 454,297 and 712,757

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Solution

The third proportional to 454,297 and 712,757 is: 1,118,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,297 : 712,757 = 712,757 : x
  2. Step 2: Convert to fraction form
    454,297/712,757 = 712,757/x
  3. Step 3: Cross multiply
    454,297x = 712,757 × 712,757
  4. Step 4: Simplify right side
    454,297x = 508,022,541,049
  5. Step 5: Solve for x
    x = 508,022,541,049/454,297
  6. Step 6: Final answer
    x = 1,118,260.83

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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.