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Finding the Third Proportional to 305,672 and 664,048

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Solution

The third proportional to 305,672 and 664,048 is: 1,442,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,672 : 664,048 = 664,048 : x
  2. Step 2: Convert to fraction form
    305,672/664,048 = 664,048/x
  3. Step 3: Cross multiply
    305,672x = 664,048 × 664,048
  4. Step 4: Simplify right side
    305,672x = 440,959,746,304
  5. Step 5: Solve for x
    x = 440,959,746,304/305,672
  6. Step 6: Final answer
    x = 1,442,591.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.