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Finding the Third Proportional to 652.31 and 767.06

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Solution

The third proportional to 652.31 and 767.06 is: 902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.31 : 767.06 = 767.06 : x
  2. Step 2: Convert to fraction form
    652.31/767.06 = 767.06/x
  3. Step 3: Cross multiply
    652.31x = 767.06 × 767.06
  4. Step 4: Simplify right side
    652.31x = 588,384.88
  5. Step 5: Solve for x
    x = 588,384.88/652.31
  6. Step 6: Final answer
    x = 902.00

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.