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Finding the Third Proportional to 475,777.50 and 998,262

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Solution

The third proportional to 475,777.50 and 998,262 is: 2,094,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,777.50 : 998,262 = 998,262 : x
  2. Step 2: Convert to fraction form
    475,777.50/998,262 = 998,262/x
  3. Step 3: Cross multiply
    475,777.50x = 998,262 × 998,262
  4. Step 4: Simplify right side
    475,777.50x = 996,527,020,644
  5. Step 5: Solve for x
    x = 996,527,020,644/475,777.50
  6. Step 6: Final answer
    x = 2,094,523.22

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