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Finding the Third Proportional to 212,578.50 and 466,624.13

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Solution

The third proportional to 212,578.50 and 466,624.13 is: 1,024,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,578.50 : 466,624.13 = 466,624.13 : x
  2. Step 2: Convert to fraction form
    212,578.50/466,624.13 = 466,624.13/x
  3. Step 3: Cross multiply
    212,578.50x = 466,624.13 × 466,624.13
  4. Step 4: Simplify right side
    212,578.50x = 217,738,074,032.02
  5. Step 5: Solve for x
    x = 217,738,074,032.02/212,578.50
  6. Step 6: Final answer
    x = 1,024,271.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.