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Finding the Third Proportional to 200,646.75 and 417,901

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Solution

The third proportional to 200,646.75 and 417,901 is: 870,391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,646.75 : 417,901 = 417,901 : x
  2. Step 2: Convert to fraction form
    200,646.75/417,901 = 417,901/x
  3. Step 3: Cross multiply
    200,646.75x = 417,901 × 417,901
  4. Step 4: Simplify right side
    200,646.75x = 174,641,245,801
  5. Step 5: Solve for x
    x = 174,641,245,801/200,646.75
  6. Step 6: Final answer
    x = 870,391.60

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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.