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Finding the Third Proportional to 200,653 and 417,914

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Solution

The third proportional to 200,653 and 417,914 is: 870,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,653 : 417,914 = 417,914 : x
  2. Step 2: Convert to fraction form
    200,653/417,914 = 417,914/x
  3. Step 3: Cross multiply
    200,653x = 417,914 × 417,914
  4. Step 4: Simplify right side
    200,653x = 174,652,111,396
  5. Step 5: Solve for x
    x = 174,652,111,396/200,653
  6. Step 6: Final answer
    x = 870,418.64

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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.