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Finding the Third Proportional to 549.07 and 862.95

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Solution

The third proportional to 549.07 and 862.95 is: 1,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.07 : 862.95 = 862.95 : x
  2. Step 2: Convert to fraction form
    549.07/862.95 = 862.95/x
  3. Step 3: Cross multiply
    549.07x = 862.95 × 862.95
  4. Step 4: Simplify right side
    549.07x = 744,674.61
  5. Step 5: Solve for x
    x = 744,674.61/549.07
  6. Step 6: Final answer
    x = 1,356.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.