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Finding the Third Proportional to 225,726.75 and 532,828.13

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Solution

The third proportional to 225,726.75 and 532,828.13 is: 1,257,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,726.75 : 532,828.13 = 532,828.13 : x
  2. Step 2: Convert to fraction form
    225,726.75/532,828.13 = 532,828.13/x
  3. Step 3: Cross multiply
    225,726.75x = 532,828.13 × 532,828.13
  4. Step 4: Simplify right side
    225,726.75x = 283,905,810,791.02
  5. Step 5: Solve for x
    x = 283,905,810,791.02/225,726.75
  6. Step 6: Final answer
    x = 1,257,741.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.