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Finding the Third Proportional to 283,626.56 and 610,259.06

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Solution

The third proportional to 283,626.56 and 610,259.06 is: 1,313,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,626.56 : 610,259.06 = 610,259.06 : x
  2. Step 2: Convert to fraction form
    283,626.56/610,259.06 = 610,259.06/x
  3. Step 3: Cross multiply
    283,626.56x = 610,259.06 × 610,259.06
  4. Step 4: Simplify right side
    283,626.56x = 372,416,123,363.38
  5. Step 5: Solve for x
    x = 372,416,123,363.38/283,626.56
  6. Step 6: Final answer
    x = 1,313,050.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.