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Finding the Third Proportional to 200,482 and 417,498

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Solution

The third proportional to 200,482 and 417,498 is: 869,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,482 : 417,498 = 417,498 : x
  2. Step 2: Convert to fraction form
    200,482/417,498 = 417,498/x
  3. Step 3: Cross multiply
    200,482x = 417,498 × 417,498
  4. Step 4: Simplify right side
    200,482x = 174,304,580,004
  5. Step 5: Solve for x
    x = 174,304,580,004/200,482
  6. Step 6: Final answer
    x = 869,427.58

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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.