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Finding the Third Proportional to 475,776.28 and 998,259.19

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Solution

The third proportional to 475,776.28 and 998,259.19 is: 2,094,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,776.28 : 998,259.19 = 998,259.19 : x
  2. Step 2: Convert to fraction form
    475,776.28/998,259.19 = 998,259.19/x
  3. Step 3: Cross multiply
    475,776.28x = 998,259.19 × 998,259.19
  4. Step 4: Simplify right side
    475,776.28x = 996,521,405,428.16
  5. Step 5: Solve for x
    x = 996,521,405,428.16/475,776.28
  6. Step 6: Final answer
    x = 2,094,516.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.