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Finding the Third Proportional to 716.06 and 1,002.94

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Solution

The third proportional to 716.06 and 1,002.94 is: 1,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.06 : 1,002.94 = 1,002.94 : x
  2. Step 2: Convert to fraction form
    716.06/1,002.94 = 1,002.94/x
  3. Step 3: Cross multiply
    716.06x = 1,002.94 × 1,002.94
  4. Step 4: Simplify right side
    716.06x = 1,005,883.63
  5. Step 5: Solve for x
    x = 1,005,883.63/716.06
  6. Step 6: Final answer
    x = 1,404.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.