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Finding the Third Proportional to 243,388.13 and 532,584

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Solution

The third proportional to 243,388.13 and 532,584 is: 1,165,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,388.13 : 532,584 = 532,584 : x
  2. Step 2: Convert to fraction form
    243,388.13/532,584 = 532,584/x
  3. Step 3: Cross multiply
    243,388.13x = 532,584 × 532,584
  4. Step 4: Simplify right side
    243,388.13x = 283,645,717,056
  5. Step 5: Solve for x
    x = 283,645,717,056/243,388.13
  6. Step 6: Final answer
    x = 1,165,404.91

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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.