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Finding the Third Proportional to 283,039.31 and 454,493.53

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Solution

The third proportional to 283,039.31 and 454,493.53 is: 729,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,039.31 : 454,493.53 = 454,493.53 : x
  2. Step 2: Convert to fraction form
    283,039.31/454,493.53 = 454,493.53/x
  3. Step 3: Cross multiply
    283,039.31x = 454,493.53 × 454,493.53
  4. Step 4: Simplify right side
    283,039.31x = 206,564,369,948.10
  5. Step 5: Solve for x
    x = 206,564,369,948.10/283,039.31
  6. Step 6: Final answer
    x = 729,808.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.