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Finding the Third Proportional to 487 and 728.88

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Solution

The third proportional to 487 and 728.88 is: 1,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    487 : 728.88 = 728.88 : x
  2. Step 2: Convert to fraction form
    487/728.88 = 728.88/x
  3. Step 3: Cross multiply
    487x = 728.88 × 728.88
  4. Step 4: Simplify right side
    487x = 531,258.77
  5. Step 5: Solve for x
    x = 531,258.77/487
  6. Step 6: Final answer
    x = 1,090.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.