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Finding the Third Proportional to 283,371.75 and 475,903.69

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Solution

The third proportional to 283,371.75 and 475,903.69 is: 799,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,371.75 : 475,903.69 = 475,903.69 : x
  2. Step 2: Convert to fraction form
    283,371.75/475,903.69 = 475,903.69/x
  3. Step 3: Cross multiply
    283,371.75x = 475,903.69 × 475,903.69
  4. Step 4: Simplify right side
    283,371.75x = 226,484,319,776.10
  5. Step 5: Solve for x
    x = 226,484,319,776.10/283,371.75
  6. Step 6: Final answer
    x = 799,248.05

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.