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Finding the Third Proportional to 376,394 and 783,764

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Solution

The third proportional to 376,394 and 783,764 is: 1,632,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,394 : 783,764 = 783,764 : x
  2. Step 2: Convert to fraction form
    376,394/783,764 = 783,764/x
  3. Step 3: Cross multiply
    376,394x = 783,764 × 783,764
  4. Step 4: Simplify right side
    376,394x = 614,286,007,696
  5. Step 5: Solve for x
    x = 614,286,007,696/376,394
  6. Step 6: Final answer
    x = 1,632,029.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.