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Finding the Third Proportional to 296.13 and 463.63

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Solution

The third proportional to 296.13 and 463.63 is: 725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.13 : 463.63 = 463.63 : x
  2. Step 2: Convert to fraction form
    296.13/463.63 = 463.63/x
  3. Step 3: Cross multiply
    296.13x = 463.63 × 463.63
  4. Step 4: Simplify right side
    296.13x = 214,948.14
  5. Step 5: Solve for x
    x = 214,948.14/296.13
  6. Step 6: Final answer
    x = 725.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.