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Finding the Third Proportional to 460.75 and 560.50

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Solution

The third proportional to 460.75 and 560.50 is: 681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.75 : 560.50 = 560.50 : x
  2. Step 2: Convert to fraction form
    460.75/560.50 = 560.50/x
  3. Step 3: Cross multiply
    460.75x = 560.50 × 560.50
  4. Step 4: Simplify right side
    460.75x = 314,160.25
  5. Step 5: Solve for x
    x = 314,160.25/460.75
  6. Step 6: Final answer
    x = 681.85

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Why These Related Problems?

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