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Finding the Third Proportional to 200,916 and 428,488

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Solution

The third proportional to 200,916 and 428,488 is: 913,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,916 : 428,488 = 428,488 : x
  2. Step 2: Convert to fraction form
    200,916/428,488 = 428,488/x
  3. Step 3: Cross multiply
    200,916x = 428,488 × 428,488
  4. Step 4: Simplify right side
    200,916x = 183,601,966,144
  5. Step 5: Solve for x
    x = 183,601,966,144/200,916
  6. Step 6: Final answer
    x = 913,824.51

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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.