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Finding the Third Proportional to 544.13 and 875.91

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Solution

The third proportional to 544.13 and 875.91 is: 1,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.13 : 875.91 = 875.91 : x
  2. Step 2: Convert to fraction form
    544.13/875.91 = 875.91/x
  3. Step 3: Cross multiply
    544.13x = 875.91 × 875.91
  4. Step 4: Simplify right side
    544.13x = 767,211.76
  5. Step 5: Solve for x
    x = 767,211.76/544.13
  6. Step 6: Final answer
    x = 1,409.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.