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Finding the Third Proportional to 425.25 and 560.50

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Solution

The third proportional to 425.25 and 560.50 is: 738.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.25 : 560.50 = 560.50 : x
  2. Step 2: Convert to fraction form
    425.25/560.50 = 560.50/x
  3. Step 3: Cross multiply
    425.25x = 560.50 × 560.50
  4. Step 4: Simplify right side
    425.25x = 314,160.25
  5. Step 5: Solve for x
    x = 314,160.25/425.25
  6. Step 6: Final answer
    x = 738.77

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.