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Finding the Third Proportional to 240,698 and 360,534

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Solution

The third proportional to 240,698 and 360,534 is: 540,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,698 : 360,534 = 360,534 : x
  2. Step 2: Convert to fraction form
    240,698/360,534 = 360,534/x
  3. Step 3: Cross multiply
    240,698x = 360,534 × 360,534
  4. Step 4: Simplify right side
    240,698x = 129,984,765,156
  5. Step 5: Solve for x
    x = 129,984,765,156/240,698
  6. Step 6: Final answer
    x = 540,032.59

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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.