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Finding the Third Proportional to 382,552 and 835,088

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Solution

The third proportional to 382,552 and 835,088 is: 1,822,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,552 : 835,088 = 835,088 : x
  2. Step 2: Convert to fraction form
    382,552/835,088 = 835,088/x
  3. Step 3: Cross multiply
    382,552x = 835,088 × 835,088
  4. Step 4: Simplify right side
    382,552x = 697,371,967,744
  5. Step 5: Solve for x
    x = 697,371,967,744/382,552
  6. Step 6: Final answer
    x = 1,822,946.86

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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.