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Finding the Third Proportional to 454,114 and 687,459

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Solution

The third proportional to 454,114 and 687,459 is: 1,040,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,114 : 687,459 = 687,459 : x
  2. Step 2: Convert to fraction form
    454,114/687,459 = 687,459/x
  3. Step 3: Cross multiply
    454,114x = 687,459 × 687,459
  4. Step 4: Simplify right side
    454,114x = 472,599,876,681
  5. Step 5: Solve for x
    x = 472,599,876,681/454,114
  6. Step 6: Final answer
    x = 1,040,707.57

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