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Finding the Third Proportional to 242,421.75 and 527,568.75

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Solution

The third proportional to 242,421.75 and 527,568.75 is: 1,148,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,421.75 : 527,568.75 = 527,568.75 : x
  2. Step 2: Convert to fraction form
    242,421.75/527,568.75 = 527,568.75/x
  3. Step 3: Cross multiply
    242,421.75x = 527,568.75 × 527,568.75
  4. Step 4: Simplify right side
    242,421.75x = 278,328,785,976.56
  5. Step 5: Solve for x
    x = 278,328,785,976.56/242,421.75
  6. Step 6: Final answer
    x = 1,148,118.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.