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Finding the Third Proportional to 297,577.13 and 453,333.38

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Solution

The third proportional to 297,577.13 and 453,333.38 is: 690,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,577.13 : 453,333.38 = 453,333.38 : x
  2. Step 2: Convert to fraction form
    297,577.13/453,333.38 = 453,333.38/x
  3. Step 3: Cross multiply
    297,577.13x = 453,333.38 × 453,333.38
  4. Step 4: Simplify right side
    297,577.13x = 205,511,148,888.89
  5. Step 5: Solve for x
    x = 205,511,148,888.89/297,577.13
  6. Step 6: Final answer
    x = 690,614.74

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