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Finding the Third Proportional to 432,435.50 and 659,315

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Solution

The third proportional to 432,435.50 and 659,315 is: 1,005,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,435.50 : 659,315 = 659,315 : x
  2. Step 2: Convert to fraction form
    432,435.50/659,315 = 659,315/x
  3. Step 3: Cross multiply
    432,435.50x = 659,315 × 659,315
  4. Step 4: Simplify right side
    432,435.50x = 434,696,269,225
  5. Step 5: Solve for x
    x = 434,696,269,225/432,435.50
  6. Step 6: Final answer
    x = 1,005,227.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.