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Finding the Third Proportional to 543,672 and 839,748

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Solution

The third proportional to 543,672 and 839,748 is: 1,297,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,672 : 839,748 = 839,748 : x
  2. Step 2: Convert to fraction form
    543,672/839,748 = 839,748/x
  3. Step 3: Cross multiply
    543,672x = 839,748 × 839,748
  4. Step 4: Simplify right side
    543,672x = 705,176,703,504
  5. Step 5: Solve for x
    x = 705,176,703,504/543,672
  6. Step 6: Final answer
    x = 1,297,062.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.