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Finding the Third Proportional to 361,792 and 783,848

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Solution

The third proportional to 361,792 and 783,848 is: 1,698,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,792 : 783,848 = 783,848 : x
  2. Step 2: Convert to fraction form
    361,792/783,848 = 783,848/x
  3. Step 3: Cross multiply
    361,792x = 783,848 × 783,848
  4. Step 4: Simplify right side
    361,792x = 614,417,687,104
  5. Step 5: Solve for x
    x = 614,417,687,104/361,792
  6. Step 6: Final answer
    x = 1,698,262.23

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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.