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Finding the Third Proportional to 306,121.50 and 631,891.50

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Solution

The third proportional to 306,121.50 and 631,891.50 is: 1,304,341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,121.50 : 631,891.50 = 631,891.50 : x
  2. Step 2: Convert to fraction form
    306,121.50/631,891.50 = 631,891.50/x
  3. Step 3: Cross multiply
    306,121.50x = 631,891.50 × 631,891.50
  4. Step 4: Simplify right side
    306,121.50x = 399,286,867,772.25
  5. Step 5: Solve for x
    x = 399,286,867,772.25/306,121.50
  6. Step 6: Final answer
    x = 1,304,341.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.