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Finding the Third Proportional to 297,325 and 452,959

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Solution

The third proportional to 297,325 and 452,959 is: 690,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,325 : 452,959 = 452,959 : x
  2. Step 2: Convert to fraction form
    297,325/452,959 = 452,959/x
  3. Step 3: Cross multiply
    297,325x = 452,959 × 452,959
  4. Step 4: Simplify right side
    297,325x = 205,171,855,681
  5. Step 5: Solve for x
    x = 205,171,855,681/297,325
  6. Step 6: Final answer
    x = 690,059.21

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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.