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Finding the Third Proportional to 228,943.13 and 497,275.03

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Solution

The third proportional to 228,943.13 and 497,275.03 is: 1,080,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,943.13 : 497,275.03 = 497,275.03 : x
  2. Step 2: Convert to fraction form
    228,943.13/497,275.03 = 497,275.03/x
  3. Step 3: Cross multiply
    228,943.13x = 497,275.03 × 497,275.03
  4. Step 4: Simplify right side
    228,943.13x = 247,282,456,704.69
  5. Step 5: Solve for x
    x = 247,282,456,704.69/228,943.13
  6. Step 6: Final answer
    x = 1,080,104.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.