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Finding the Third Proportional to 200,820 and 428,328

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Solution

The third proportional to 200,820 and 428,328 is: 913,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,820 : 428,328 = 428,328 : x
  2. Step 2: Convert to fraction form
    200,820/428,328 = 428,328/x
  3. Step 3: Cross multiply
    200,820x = 428,328 × 428,328
  4. Step 4: Simplify right side
    200,820x = 183,464,875,584
  5. Step 5: Solve for x
    x = 183,464,875,584/200,820
  6. Step 6: Final answer
    x = 913,578.71

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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.