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Finding the Third Proportional to 296,304 and 451,746

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Solution

The third proportional to 296,304 and 451,746 is: 688,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,304 : 451,746 = 451,746 : x
  2. Step 2: Convert to fraction form
    296,304/451,746 = 451,746/x
  3. Step 3: Cross multiply
    296,304x = 451,746 × 451,746
  4. Step 4: Simplify right side
    296,304x = 204,074,448,516
  5. Step 5: Solve for x
    x = 204,074,448,516/296,304
  6. Step 6: Final answer
    x = 688,733.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.