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Finding the Third Proportional to 209,016.54 and 457,898.85

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Solution

The third proportional to 209,016.54 and 457,898.85 is: 1,003,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,016.54 : 457,898.85 = 457,898.85 : x
  2. Step 2: Convert to fraction form
    209,016.54/457,898.85 = 457,898.85/x
  3. Step 3: Cross multiply
    209,016.54x = 457,898.85 × 457,898.85
  4. Step 4: Simplify right side
    209,016.54x = 209,671,360,050.92
  5. Step 5: Solve for x
    x = 209,671,360,050.92/209,016.54
  6. Step 6: Final answer
    x = 1,003,132.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.