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Finding the Third Proportional to 200,425.22 and 417,435.19

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Solution

The third proportional to 200,425.22 and 417,435.19 is: 869,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,425.22 : 417,435.19 = 417,435.19 : x
  2. Step 2: Convert to fraction form
    200,425.22/417,435.19 = 417,435.19/x
  3. Step 3: Cross multiply
    200,425.22x = 417,435.19 × 417,435.19
  4. Step 4: Simplify right side
    200,425.22x = 174,252,135,763.16
  5. Step 5: Solve for x
    x = 174,252,135,763.16/200,425.22
  6. Step 6: Final answer
    x = 869,412.23

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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.