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Finding the Third Proportional to 240,832 and 375,036

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Solution

The third proportional to 240,832 and 375,036 is: 584,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,832 : 375,036 = 375,036 : x
  2. Step 2: Convert to fraction form
    240,832/375,036 = 375,036/x
  3. Step 3: Cross multiply
    240,832x = 375,036 × 375,036
  4. Step 4: Simplify right side
    240,832x = 140,652,001,296
  5. Step 5: Solve for x
    x = 140,652,001,296/240,832
  6. Step 6: Final answer
    x = 584,025.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.