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Finding the Third Proportional to 534.47 and 1,148.72

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Solution

The third proportional to 534.47 and 1,148.72 is: 2,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.47 : 1,148.72 = 1,148.72 : x
  2. Step 2: Convert to fraction form
    534.47/1,148.72 = 1,148.72/x
  3. Step 3: Cross multiply
    534.47x = 1,148.72 × 1,148.72
  4. Step 4: Simplify right side
    534.47x = 1,319,554.77
  5. Step 5: Solve for x
    x = 1,319,554.77/534.47
  6. Step 6: Final answer
    x = 2,468.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.