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Finding the Third Proportional to 297,506 and 453,238

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Solution

The third proportional to 297,506 and 453,238 is: 690,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,506 : 453,238 = 453,238 : x
  2. Step 2: Convert to fraction form
    297,506/453,238 = 453,238/x
  3. Step 3: Cross multiply
    297,506x = 453,238 × 453,238
  4. Step 4: Simplify right side
    297,506x = 205,424,684,644
  5. Step 5: Solve for x
    x = 205,424,684,644/297,506
  6. Step 6: Final answer
    x = 690,489.22

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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.