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Finding the Third Proportional to 475,789.50 and 1,046,211

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Solution

The third proportional to 475,789.50 and 1,046,211 is: 2,300,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,789.50 : 1,046,211 = 1,046,211 : x
  2. Step 2: Convert to fraction form
    475,789.50/1,046,211 = 1,046,211/x
  3. Step 3: Cross multiply
    475,789.50x = 1,046,211 × 1,046,211
  4. Step 4: Simplify right side
    475,789.50x = 1,094,557,456,521
  5. Step 5: Solve for x
    x = 1,094,557,456,521/475,789.50
  6. Step 6: Final answer
    x = 2,300,507.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.