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Finding the Third Proportional to 460.97 and 715.36

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Solution

The third proportional to 460.97 and 715.36 is: 1,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.97 : 715.36 = 715.36 : x
  2. Step 2: Convert to fraction form
    460.97/715.36 = 715.36/x
  3. Step 3: Cross multiply
    460.97x = 715.36 × 715.36
  4. Step 4: Simplify right side
    460.97x = 511,739.04
  5. Step 5: Solve for x
    x = 511,739.04/460.97
  6. Step 6: Final answer
    x = 1,110.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.