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Finding the Third Proportional to 297,488 and 453,202

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Solution

The third proportional to 297,488 and 453,202 is: 690,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,488 : 453,202 = 453,202 : x
  2. Step 2: Convert to fraction form
    297,488/453,202 = 453,202/x
  3. Step 3: Cross multiply
    297,488x = 453,202 × 453,202
  4. Step 4: Simplify right side
    297,488x = 205,392,052,804
  5. Step 5: Solve for x
    x = 205,392,052,804/297,488
  6. Step 6: Final answer
    x = 690,421.30

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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.