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Finding the Third Proportional to 296.86 and 460.79

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Solution

The third proportional to 296.86 and 460.79 is: 715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 460.79 = 460.79 : x
  2. Step 2: Convert to fraction form
    296.86/460.79 = 460.79/x
  3. Step 3: Cross multiply
    296.86x = 460.79 × 460.79
  4. Step 4: Simplify right side
    296.86x = 212,330.16
  5. Step 5: Solve for x
    x = 212,330.16/296.86
  6. Step 6: Final answer
    x = 715.26

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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.