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Finding the Third Proportional to 460.69 and 711.28

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Solution

The third proportional to 460.69 and 711.28 is: 1,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 711.28 = 711.28 : x
  2. Step 2: Convert to fraction form
    460.69/711.28 = 711.28/x
  3. Step 3: Cross multiply
    460.69x = 711.28 × 711.28
  4. Step 4: Simplify right side
    460.69x = 505,921.02
  5. Step 5: Solve for x
    x = 505,921.02/460.69
  6. Step 6: Final answer
    x = 1,098.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.