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Finding the Third Proportional to 253,000.13 and 552,052.13

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Solution

The third proportional to 253,000.13 and 552,052.13 is: 1,204,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,000.13 : 552,052.13 = 552,052.13 : x
  2. Step 2: Convert to fraction form
    253,000.13/552,052.13 = 552,052.13/x
  3. Step 3: Cross multiply
    253,000.13x = 552,052.13 × 552,052.13
  4. Step 4: Simplify right side
    253,000.13x = 304,761,548,717.02
  5. Step 5: Solve for x
    x = 304,761,548,717.02/253,000.13
  6. Step 6: Final answer
    x = 1,204,590.51

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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.