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Finding the Third Proportional to 209,952 and 453,046.50

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Solution

The third proportional to 209,952 and 453,046.50 is: 977,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952 : 453,046.50 = 453,046.50 : x
  2. Step 2: Convert to fraction form
    209,952/453,046.50 = 453,046.50/x
  3. Step 3: Cross multiply
    209,952x = 453,046.50 × 453,046.50
  4. Step 4: Simplify right side
    209,952x = 205,251,131,162.25
  5. Step 5: Solve for x
    x = 205,251,131,162.25/209,952
  6. Step 6: Final answer
    x = 977,609.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.