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Finding the Third Proportional to 297,492.75 and 453,205.13

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Solution

The third proportional to 297,492.75 and 453,205.13 is: 690,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,492.75 : 453,205.13 = 453,205.13 : x
  2. Step 2: Convert to fraction form
    297,492.75/453,205.13 = 453,205.13/x
  3. Step 3: Cross multiply
    297,492.75x = 453,205.13 × 453,205.13
  4. Step 4: Simplify right side
    297,492.75x = 205,394,885,326.27
  5. Step 5: Solve for x
    x = 205,394,885,326.27/297,492.75
  6. Step 6: Final answer
    x = 690,419.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.