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Finding the Third Proportional to 207,658.69 and 452,845.69

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Solution

The third proportional to 207,658.69 and 452,845.69 is: 987,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658.69 : 452,845.69 = 452,845.69 : x
  2. Step 2: Convert to fraction form
    207,658.69/452,845.69 = 452,845.69/x
  3. Step 3: Cross multiply
    207,658.69x = 452,845.69 × 452,845.69
  4. Step 4: Simplify right side
    207,658.69x = 205,069,216,687.35
  5. Step 5: Solve for x
    x = 205,069,216,687.35/207,658.69
  6. Step 6: Final answer
    x = 987,530.16

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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.