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Finding the Third Proportional to 207,789.75 and 454,988.25

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Solution

The third proportional to 207,789.75 and 454,988.25 is: 996,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,789.75 : 454,988.25 = 454,988.25 : x
  2. Step 2: Convert to fraction form
    207,789.75/454,988.25 = 454,988.25/x
  3. Step 3: Cross multiply
    207,789.75x = 454,988.25 × 454,988.25
  4. Step 4: Simplify right side
    207,789.75x = 207,014,307,638.06
  5. Step 5: Solve for x
    x = 207,014,307,638.06/207,789.75
  6. Step 6: Final answer
    x = 996,268.14

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Why These Related Problems?

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