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Finding the Third Proportional to 285,750 and 610,869

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Solution

The third proportional to 285,750 and 610,869 is: 1,305,900.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,750 : 610,869 = 610,869 : x
  2. Step 2: Convert to fraction form
    285,750/610,869 = 610,869/x
  3. Step 3: Cross multiply
    285,750x = 610,869 × 610,869
  4. Step 4: Simplify right side
    285,750x = 373,160,935,161
  5. Step 5: Solve for x
    x = 373,160,935,161/285,750
  6. Step 6: Final answer
    x = 1,305,900.04

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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.