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Finding the Third Proportional to 219,665.25 and 452,449.13

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Solution

The third proportional to 219,665.25 and 452,449.13 is: 931,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,665.25 : 452,449.13 = 452,449.13 : x
  2. Step 2: Convert to fraction form
    219,665.25/452,449.13 = 452,449.13/x
  3. Step 3: Cross multiply
    219,665.25x = 452,449.13 × 452,449.13
  4. Step 4: Simplify right side
    219,665.25x = 204,710,210,713.27
  5. Step 5: Solve for x
    x = 204,710,210,713.27/219,665.25
  6. Step 6: Final answer
    x = 931,918.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.