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Finding the Third Proportional to 200,018 and 426,820

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Solution

The third proportional to 200,018 and 426,820 is: 910,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,018 : 426,820 = 426,820 : x
  2. Step 2: Convert to fraction form
    200,018/426,820 = 426,820/x
  3. Step 3: Cross multiply
    200,018x = 426,820 × 426,820
  4. Step 4: Simplify right side
    200,018x = 182,175,312,400
  5. Step 5: Solve for x
    x = 182,175,312,400/200,018
  6. Step 6: Final answer
    x = 910,794.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.