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Finding the Third Proportional to 318,145.50 and 466,524

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Solution

The third proportional to 318,145.50 and 466,524 is: 684,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,145.50 : 466,524 = 466,524 : x
  2. Step 2: Convert to fraction form
    318,145.50/466,524 = 466,524/x
  3. Step 3: Cross multiply
    318,145.50x = 466,524 × 466,524
  4. Step 4: Simplify right side
    318,145.50x = 217,644,642,576
  5. Step 5: Solve for x
    x = 217,644,642,576/318,145.50
  6. Step 6: Final answer
    x = 684,104.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.