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Finding the Third Proportional to 318,405.50 and 432,652.50

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Solution

The third proportional to 318,405.50 and 432,652.50 is: 587,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,405.50 : 432,652.50 = 432,652.50 : x
  2. Step 2: Convert to fraction form
    318,405.50/432,652.50 = 432,652.50/x
  3. Step 3: Cross multiply
    318,405.50x = 432,652.50 × 432,652.50
  4. Step 4: Simplify right side
    318,405.50x = 187,188,185,756.25
  5. Step 5: Solve for x
    x = 187,188,185,756.25/318,405.50
  6. Step 6: Final answer
    x = 587,892.44

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.