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Finding the Third Proportional to 413,505 and 844,506

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Solution

The third proportional to 413,505 and 844,506 is: 1,724,744.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,505 : 844,506 = 844,506 : x
  2. Step 2: Convert to fraction form
    413,505/844,506 = 844,506/x
  3. Step 3: Cross multiply
    413,505x = 844,506 × 844,506
  4. Step 4: Simplify right side
    413,505x = 713,190,384,036
  5. Step 5: Solve for x
    x = 713,190,384,036/413,505
  6. Step 6: Final answer
    x = 1,724,744.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.