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Finding the Third Proportional to 382,691 and 835,330

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Solution

The third proportional to 382,691 and 835,330 is: 1,823,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,691 : 835,330 = 835,330 : x
  2. Step 2: Convert to fraction form
    382,691/835,330 = 835,330/x
  3. Step 3: Cross multiply
    382,691x = 835,330 × 835,330
  4. Step 4: Simplify right side
    382,691x = 697,776,208,900
  5. Step 5: Solve for x
    x = 697,776,208,900/382,691
  6. Step 6: Final answer
    x = 1,823,341.05

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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.