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Finding the Third Proportional to 213,040.50 and 464,215.50

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Solution

The third proportional to 213,040.50 and 464,215.50 is: 1,011,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,040.50 : 464,215.50 = 464,215.50 : x
  2. Step 2: Convert to fraction form
    213,040.50/464,215.50 = 464,215.50/x
  3. Step 3: Cross multiply
    213,040.50x = 464,215.50 × 464,215.50
  4. Step 4: Simplify right side
    213,040.50x = 215,496,030,440.25
  5. Step 5: Solve for x
    x = 215,496,030,440.25/213,040.50
  6. Step 6: Final answer
    x = 1,011,526.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.