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Finding the Third Proportional to 541,560.15 and 843,394.18

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Solution

The third proportional to 541,560.15 and 843,394.18 is: 1,313,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,560.15 : 843,394.18 = 843,394.18 : x
  2. Step 2: Convert to fraction form
    541,560.15/843,394.18 = 843,394.18/x
  3. Step 3: Cross multiply
    541,560.15x = 843,394.18 × 843,394.18
  4. Step 4: Simplify right side
    541,560.15x = 711,313,739,653.99
  5. Step 5: Solve for x
    x = 711,313,739,653.99/541,560.15
  6. Step 6: Final answer
    x = 1,313,452.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.