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Finding the Third Proportional to 240,712 and 372,526

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Solution

The third proportional to 240,712 and 372,526 is: 576,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,712 : 372,526 = 372,526 : x
  2. Step 2: Convert to fraction form
    240,712/372,526 = 372,526/x
  3. Step 3: Cross multiply
    240,712x = 372,526 × 372,526
  4. Step 4: Simplify right side
    240,712x = 138,775,620,676
  5. Step 5: Solve for x
    x = 138,775,620,676/240,712
  6. Step 6: Final answer
    x = 576,521.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.