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Finding the Third Proportional to 242,416.13 and 527,559.75

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Solution

The third proportional to 242,416.13 and 527,559.75 is: 1,148,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,416.13 : 527,559.75 = 527,559.75 : x
  2. Step 2: Convert to fraction form
    242,416.13/527,559.75 = 527,559.75/x
  3. Step 3: Cross multiply
    242,416.13x = 527,559.75 × 527,559.75
  4. Step 4: Simplify right side
    242,416.13x = 278,319,289,820.06
  5. Step 5: Solve for x
    x = 278,319,289,820.06/242,416.13
  6. Step 6: Final answer
    x = 1,148,105.51

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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.