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Finding the Third Proportional to 242,084 and 531,952

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Solution

The third proportional to 242,084 and 531,952 is: 1,168,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,084 : 531,952 = 531,952 : x
  2. Step 2: Convert to fraction form
    242,084/531,952 = 531,952/x
  3. Step 3: Cross multiply
    242,084x = 531,952 × 531,952
  4. Step 4: Simplify right side
    242,084x = 282,972,930,304
  5. Step 5: Solve for x
    x = 282,972,930,304/242,084
  6. Step 6: Final answer
    x = 1,168,903.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.