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Finding the Third Proportional to 461.50 and 491.50

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Solution

The third proportional to 461.50 and 491.50 is: 523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 491.50 = 491.50 : x
  2. Step 2: Convert to fraction form
    461.50/491.50 = 491.50/x
  3. Step 3: Cross multiply
    461.50x = 491.50 × 491.50
  4. Step 4: Simplify right side
    461.50x = 241,572.25
  5. Step 5: Solve for x
    x = 241,572.25/461.50
  6. Step 6: Final answer
    x = 523.45

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.