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Finding the Third Proportional to 521,401.50 and 789,457.50

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Solution

The third proportional to 521,401.50 and 789,457.50 is: 1,195,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,401.50 : 789,457.50 = 789,457.50 : x
  2. Step 2: Convert to fraction form
    521,401.50/789,457.50 = 789,457.50/x
  3. Step 3: Cross multiply
    521,401.50x = 789,457.50 × 789,457.50
  4. Step 4: Simplify right side
    521,401.50x = 623,243,144,306.25
  5. Step 5: Solve for x
    x = 623,243,144,306.25/521,401.50
  6. Step 6: Final answer
    x = 1,195,322.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.