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Finding the Third Proportional to 633,943.50 and 982,407

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Solution

The third proportional to 633,943.50 and 982,407 is: 1,522,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,943.50 : 982,407 = 982,407 : x
  2. Step 2: Convert to fraction form
    633,943.50/982,407 = 982,407/x
  3. Step 3: Cross multiply
    633,943.50x = 982,407 × 982,407
  4. Step 4: Simplify right side
    633,943.50x = 965,123,513,649
  5. Step 5: Solve for x
    x = 965,123,513,649/633,943.50
  6. Step 6: Final answer
    x = 1,522,412.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.