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Finding the Third Proportional to 296,464 and 459,744

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Solution

The third proportional to 296,464 and 459,744 is: 712,951.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,464 : 459,744 = 459,744 : x
  2. Step 2: Convert to fraction form
    296,464/459,744 = 459,744/x
  3. Step 3: Cross multiply
    296,464x = 459,744 × 459,744
  4. Step 4: Simplify right side
    296,464x = 211,364,545,536
  5. Step 5: Solve for x
    x = 211,364,545,536/296,464
  6. Step 6: Final answer
    x = 712,951.81

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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.