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Finding the Third Proportional to 234,348 and 552,978

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Solution

The third proportional to 234,348 and 552,978 is: 1,304,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,348 : 552,978 = 552,978 : x
  2. Step 2: Convert to fraction form
    234,348/552,978 = 552,978/x
  3. Step 3: Cross multiply
    234,348x = 552,978 × 552,978
  4. Step 4: Simplify right side
    234,348x = 305,784,668,484
  5. Step 5: Solve for x
    x = 305,784,668,484/234,348
  6. Step 6: Final answer
    x = 1,304,831.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.