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Finding the Third Proportional to 208,637 and 450,535

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Solution

The third proportional to 208,637 and 450,535 is: 972,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,637 : 450,535 = 450,535 : x
  2. Step 2: Convert to fraction form
    208,637/450,535 = 450,535/x
  3. Step 3: Cross multiply
    208,637x = 450,535 × 450,535
  4. Step 4: Simplify right side
    208,637x = 202,981,786,225
  5. Step 5: Solve for x
    x = 202,981,786,225/208,637
  6. Step 6: Final answer
    x = 972,894.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.