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Finding the Third Proportional to 462.25 and 715.75

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Solution

The third proportional to 462.25 and 715.75 is: 1,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.25 : 715.75 = 715.75 : x
  2. Step 2: Convert to fraction form
    462.25/715.75 = 715.75/x
  3. Step 3: Cross multiply
    462.25x = 715.75 × 715.75
  4. Step 4: Simplify right side
    462.25x = 512,298.06
  5. Step 5: Solve for x
    x = 512,298.06/462.25
  6. Step 6: Final answer
    x = 1,108.27

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Why These Related Problems?

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