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Finding the Third Proportional to 207,639 and 452,796.75

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Solution

The third proportional to 207,639 and 452,796.75 is: 987,410.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,639 : 452,796.75 = 452,796.75 : x
  2. Step 2: Convert to fraction form
    207,639/452,796.75 = 452,796.75/x
  3. Step 3: Cross multiply
    207,639x = 452,796.75 × 452,796.75
  4. Step 4: Simplify right side
    207,639x = 205,024,896,810.56
  5. Step 5: Solve for x
    x = 205,024,896,810.56/207,639
  6. Step 6: Final answer
    x = 987,410.35

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Why These Related Problems?

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