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Finding the Third Proportional to 244,288 and 530,344

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Solution

The third proportional to 244,288 and 530,344 is: 1,151,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,288 : 530,344 = 530,344 : x
  2. Step 2: Convert to fraction form
    244,288/530,344 = 530,344/x
  3. Step 3: Cross multiply
    244,288x = 530,344 × 530,344
  4. Step 4: Simplify right side
    244,288x = 281,264,758,336
  5. Step 5: Solve for x
    x = 281,264,758,336/244,288
  6. Step 6: Final answer
    x = 1,151,365.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.