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Finding the Third Proportional to 400,947 and 835,065

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Solution

The third proportional to 400,947 and 835,065 is: 1,739,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,947 : 835,065 = 835,065 : x
  2. Step 2: Convert to fraction form
    400,947/835,065 = 835,065/x
  3. Step 3: Cross multiply
    400,947x = 835,065 × 835,065
  4. Step 4: Simplify right side
    400,947x = 697,333,554,225
  5. Step 5: Solve for x
    x = 697,333,554,225/400,947
  6. Step 6: Final answer
    x = 1,739,216.29

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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.