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Finding the Third Proportional to 208,283 and 457,525

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Solution

The third proportional to 208,283 and 457,525 is: 1,005,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,283 : 457,525 = 457,525 : x
  2. Step 2: Convert to fraction form
    208,283/457,525 = 457,525/x
  3. Step 3: Cross multiply
    208,283x = 457,525 × 457,525
  4. Step 4: Simplify right side
    208,283x = 209,329,125,625
  5. Step 5: Solve for x
    x = 209,329,125,625/208,283
  6. Step 6: Final answer
    x = 1,005,022.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.