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Finding the Third Proportional to 285,744.38 and 610,854.75

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Solution

The third proportional to 285,744.38 and 610,854.75 is: 1,305,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,744.38 : 610,854.75 = 610,854.75 : x
  2. Step 2: Convert to fraction form
    285,744.38/610,854.75 = 610,854.75/x
  3. Step 3: Cross multiply
    285,744.38x = 610,854.75 × 610,854.75
  4. Step 4: Simplify right side
    285,744.38x = 373,143,525,597.56
  5. Step 5: Solve for x
    x = 373,143,525,597.56/285,744.38
  6. Step 6: Final answer
    x = 1,305,864.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.