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Finding the Third Proportional to 370,839 and 807,771

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Solution

The third proportional to 370,839 and 807,771 is: 1,759,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,839 : 807,771 = 807,771 : x
  2. Step 2: Convert to fraction form
    370,839/807,771 = 807,771/x
  3. Step 3: Cross multiply
    370,839x = 807,771 × 807,771
  4. Step 4: Simplify right side
    370,839x = 652,493,988,441
  5. Step 5: Solve for x
    x = 652,493,988,441/370,839
  6. Step 6: Final answer
    x = 1,759,507.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.