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Finding the Third Proportional to 200,914 and 428,484

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Solution

The third proportional to 200,914 and 428,484 is: 913,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914 : 428,484 = 428,484 : x
  2. Step 2: Convert to fraction form
    200,914/428,484 = 428,484/x
  3. Step 3: Cross multiply
    200,914x = 428,484 × 428,484
  4. Step 4: Simplify right side
    200,914x = 183,598,538,256
  5. Step 5: Solve for x
    x = 183,598,538,256/200,914
  6. Step 6: Final answer
    x = 913,816.55

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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.