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Finding the Third Proportional to 200,649.13 and 417,905.75

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Solution

The third proportional to 200,649.13 and 417,905.75 is: 870,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,649.13 : 417,905.75 = 417,905.75 : x
  2. Step 2: Convert to fraction form
    200,649.13/417,905.75 = 417,905.75/x
  3. Step 3: Cross multiply
    200,649.13x = 417,905.75 × 417,905.75
  4. Step 4: Simplify right side
    200,649.13x = 174,645,215,883.06
  5. Step 5: Solve for x
    x = 174,645,215,883.06/200,649.13
  6. Step 6: Final answer
    x = 870,401.08

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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.