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Finding the Third Proportional to 297,862.31 and 454,587.19

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Solution

The third proportional to 297,862.31 and 454,587.19 is: 693,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,862.31 : 454,587.19 = 454,587.19 : x
  2. Step 2: Convert to fraction form
    297,862.31/454,587.19 = 454,587.19/x
  3. Step 3: Cross multiply
    297,862.31x = 454,587.19 × 454,587.19
  4. Step 4: Simplify right side
    297,862.31x = 206,649,511,039.16
  5. Step 5: Solve for x
    x = 206,649,511,039.16/297,862.31
  6. Step 6: Final answer
    x = 693,775.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.