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Finding the Third Proportional to 240,750 and 512,603

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Solution

The third proportional to 240,750 and 512,603 is: 1,091,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,750 : 512,603 = 512,603 : x
  2. Step 2: Convert to fraction form
    240,750/512,603 = 512,603/x
  3. Step 3: Cross multiply
    240,750x = 512,603 × 512,603
  4. Step 4: Simplify right side
    240,750x = 262,761,835,609
  5. Step 5: Solve for x
    x = 262,761,835,609/240,750
  6. Step 6: Final answer
    x = 1,091,430.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.