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Finding the Third Proportional to 434,042.75 and 950,833.50

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Solution

The third proportional to 434,042.75 and 950,833.50 is: 2,082,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,042.75 : 950,833.50 = 950,833.50 : x
  2. Step 2: Convert to fraction form
    434,042.75/950,833.50 = 950,833.50/x
  3. Step 3: Cross multiply
    434,042.75x = 950,833.50 × 950,833.50
  4. Step 4: Simplify right side
    434,042.75x = 904,084,344,722.25
  5. Step 5: Solve for x
    x = 904,084,344,722.25/434,042.75
  6. Step 6: Final answer
    x = 2,082,938.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.