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Finding the Third Proportional to 454,156 and 687,522

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Solution

The third proportional to 454,156 and 687,522 is: 1,040,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,156 : 687,522 = 687,522 : x
  2. Step 2: Convert to fraction form
    454,156/687,522 = 687,522/x
  3. Step 3: Cross multiply
    454,156x = 687,522 × 687,522
  4. Step 4: Simplify right side
    454,156x = 472,686,500,484
  5. Step 5: Solve for x
    x = 472,686,500,484/454,156
  6. Step 6: Final answer
    x = 1,040,802.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.