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Finding the Third Proportional to 242,549.44 and 566,524.13

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Solution

The third proportional to 242,549.44 and 566,524.13 is: 1,323,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,549.44 : 566,524.13 = 566,524.13 : x
  2. Step 2: Convert to fraction form
    242,549.44/566,524.13 = 566,524.13/x
  3. Step 3: Cross multiply
    242,549.44x = 566,524.13 × 566,524.13
  4. Step 4: Simplify right side
    242,549.44x = 320,949,584,207.02
  5. Step 5: Solve for x
    x = 320,949,584,207.02/242,549.44
  6. Step 6: Final answer
    x = 1,323,233.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.