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Finding the Third Proportional to 200,592 and 417,986

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Solution

The third proportional to 200,592 and 417,986 is: 870,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,592 : 417,986 = 417,986 : x
  2. Step 2: Convert to fraction form
    200,592/417,986 = 417,986/x
  3. Step 3: Cross multiply
    200,592x = 417,986 × 417,986
  4. Step 4: Simplify right side
    200,592x = 174,712,296,196
  5. Step 5: Solve for x
    x = 174,712,296,196/200,592
  6. Step 6: Final answer
    x = 870,983.37

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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.