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Finding the Third Proportional to 200,353 and 423,062

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Solution

The third proportional to 200,353 and 423,062 is: 893,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,353 : 423,062 = 423,062 : x
  2. Step 2: Convert to fraction form
    200,353/423,062 = 423,062/x
  3. Step 3: Cross multiply
    200,353x = 423,062 × 423,062
  4. Step 4: Simplify right side
    200,353x = 178,981,455,844
  5. Step 5: Solve for x
    x = 178,981,455,844/200,353
  6. Step 6: Final answer
    x = 893,330.55

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.