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Finding the Third Proportional to 200,524 and 417,633

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Solution

The third proportional to 200,524 and 417,633 is: 869,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,524 : 417,633 = 417,633 : x
  2. Step 2: Convert to fraction form
    200,524/417,633 = 417,633/x
  3. Step 3: Cross multiply
    200,524x = 417,633 × 417,633
  4. Step 4: Simplify right side
    200,524x = 174,417,322,689
  5. Step 5: Solve for x
    x = 174,417,322,689/200,524
  6. Step 6: Final answer
    x = 869,807.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.