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Finding the Third Proportional to 297,499 and 453,224

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Solution

The third proportional to 297,499 and 453,224 is: 690,462.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,499 : 453,224 = 453,224 : x
  2. Step 2: Convert to fraction form
    297,499/453,224 = 453,224/x
  3. Step 3: Cross multiply
    297,499x = 453,224 × 453,224
  4. Step 4: Simplify right side
    297,499x = 205,411,994,176
  5. Step 5: Solve for x
    x = 205,411,994,176/297,499
  6. Step 6: Final answer
    x = 690,462.81

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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.