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Finding the Third Proportional to 438.56 and 499.31

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Solution

The third proportional to 438.56 and 499.31 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 499.31 = 499.31 : x
  2. Step 2: Convert to fraction form
    438.56/499.31 = 499.31/x
  3. Step 3: Cross multiply
    438.56x = 499.31 × 499.31
  4. Step 4: Simplify right side
    438.56x = 249,312.97
  5. Step 5: Solve for x
    x = 249,312.97/438.56
  6. Step 6: Final answer
    x = 568.48

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.