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Finding the Third Proportional to 404,964 and 818,493.75

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Solution

The third proportional to 404,964 and 818,493.75 is: 1,654,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,964 : 818,493.75 = 818,493.75 : x
  2. Step 2: Convert to fraction form
    404,964/818,493.75 = 818,493.75/x
  3. Step 3: Cross multiply
    404,964x = 818,493.75 × 818,493.75
  4. Step 4: Simplify right side
    404,964x = 669,932,018,789.06
  5. Step 5: Solve for x
    x = 669,932,018,789.06/404,964
  6. Step 6: Final answer
    x = 1,654,300.18

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.