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Finding the Third Proportional to 240,359 and 377,036

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Solution

The third proportional to 240,359 and 377,036 is: 591,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,359 : 377,036 = 377,036 : x
  2. Step 2: Convert to fraction form
    240,359/377,036 = 377,036/x
  3. Step 3: Cross multiply
    240,359x = 377,036 × 377,036
  4. Step 4: Simplify right side
    240,359x = 142,156,145,296
  5. Step 5: Solve for x
    x = 142,156,145,296/240,359
  6. Step 6: Final answer
    x = 591,432.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.