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Finding the Third Proportional to 412,141.50 and 868,563

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Solution

The third proportional to 412,141.50 and 868,563 is: 1,830,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,141.50 : 868,563 = 868,563 : x
  2. Step 2: Convert to fraction form
    412,141.50/868,563 = 868,563/x
  3. Step 3: Cross multiply
    412,141.50x = 868,563 × 868,563
  4. Step 4: Simplify right side
    412,141.50x = 754,401,684,969
  5. Step 5: Solve for x
    x = 754,401,684,969/412,141.50
  6. Step 6: Final answer
    x = 1,830,443.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.