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Finding the Third Proportional to 527.77 and 1,262.04

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Solution

The third proportional to 527.77 and 1,262.04 is: 3,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.77 : 1,262.04 = 1,262.04 : x
  2. Step 2: Convert to fraction form
    527.77/1,262.04 = 1,262.04/x
  3. Step 3: Cross multiply
    527.77x = 1,262.04 × 1,262.04
  4. Step 4: Simplify right side
    527.77x = 1,592,742.60
  5. Step 5: Solve for x
    x = 1,592,742.60/527.77
  6. Step 6: Final answer
    x = 3,017.90

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.