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Finding the Third Proportional to 240,690 and 360,522

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Solution

The third proportional to 240,690 and 360,522 is: 540,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,690 : 360,522 = 360,522 : x
  2. Step 2: Convert to fraction form
    240,690/360,522 = 360,522/x
  3. Step 3: Cross multiply
    240,690x = 360,522 × 360,522
  4. Step 4: Simplify right side
    240,690x = 129,976,112,484
  5. Step 5: Solve for x
    x = 129,976,112,484/240,690
  6. Step 6: Final answer
    x = 540,014.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.