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Finding the Third Proportional to 212,870.25 and 466,564.50

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Solution

The third proportional to 212,870.25 and 466,564.50 is: 1,022,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,870.25 : 466,564.50 = 466,564.50 : x
  2. Step 2: Convert to fraction form
    212,870.25/466,564.50 = 466,564.50/x
  3. Step 3: Cross multiply
    212,870.25x = 466,564.50 × 466,564.50
  4. Step 4: Simplify right side
    212,870.25x = 217,682,432,660.25
  5. Step 5: Solve for x
    x = 217,682,432,660.25/212,870.25
  6. Step 6: Final answer
    x = 1,022,606.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.