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Finding the Third Proportional to 540.34 and 1,275.04

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Solution

The third proportional to 540.34 and 1,275.04 is: 3,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 1,275.04 = 1,275.04 : x
  2. Step 2: Convert to fraction form
    540.34/1,275.04 = 1,275.04/x
  3. Step 3: Cross multiply
    540.34x = 1,275.04 × 1,275.04
  4. Step 4: Simplify right side
    540.34x = 1,625,722.12
  5. Step 5: Solve for x
    x = 1,625,722.12/540.34
  6. Step 6: Final answer
    x = 3,008.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.