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Finding the Third Proportional to 308,560 and 676,304

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Solution

The third proportional to 308,560 and 676,304 is: 1,482,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,560 : 676,304 = 676,304 : x
  2. Step 2: Convert to fraction form
    308,560/676,304 = 676,304/x
  3. Step 3: Cross multiply
    308,560x = 676,304 × 676,304
  4. Step 4: Simplify right side
    308,560x = 457,387,100,416
  5. Step 5: Solve for x
    x = 457,387,100,416/308,560
  6. Step 6: Final answer
    x = 1,482,327.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.