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Finding the Third Proportional to 208,288 and 457,535

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Solution

The third proportional to 208,288 and 457,535 is: 1,005,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,288 : 457,535 = 457,535 : x
  2. Step 2: Convert to fraction form
    208,288/457,535 = 457,535/x
  3. Step 3: Cross multiply
    208,288x = 457,535 × 457,535
  4. Step 4: Simplify right side
    208,288x = 209,338,276,225
  5. Step 5: Solve for x
    x = 209,338,276,225/208,288
  6. Step 6: Final answer
    x = 1,005,042.42

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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.