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Finding the Third Proportional to 475,186.50 and 966,873.38

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Solution

The third proportional to 475,186.50 and 966,873.38 is: 1,967,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,186.50 : 966,873.38 = 966,873.38 : x
  2. Step 2: Convert to fraction form
    475,186.50/966,873.38 = 966,873.38/x
  3. Step 3: Cross multiply
    475,186.50x = 966,873.38 × 966,873.38
  4. Step 4: Simplify right side
    475,186.50x = 934,844,123,283.89
  5. Step 5: Solve for x
    x = 934,844,123,283.89/475,186.50
  6. Step 6: Final answer
    x = 1,967,320.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.