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Finding the Third Proportional to 464 and 566

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Solution

The third proportional to 464 and 566 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 566 = 566 : x
  2. Step 2: Convert to fraction form
    464/566 = 566/x
  3. Step 3: Cross multiply
    464x = 566 × 566
  4. Step 4: Simplify right side
    464x = 320,356
  5. Step 5: Solve for x
    x = 320,356/464
  6. Step 6: Final answer
    x = 690.42

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.