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Finding the Third Proportional to 303,338 and 653,188

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Solution

The third proportional to 303,338 and 653,188 is: 1,406,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,338 : 653,188 = 653,188 : x
  2. Step 2: Convert to fraction form
    303,338/653,188 = 653,188/x
  3. Step 3: Cross multiply
    303,338x = 653,188 × 653,188
  4. Step 4: Simplify right side
    303,338x = 426,654,563,344
  5. Step 5: Solve for x
    x = 426,654,563,344/303,338
  6. Step 6: Final answer
    x = 1,406,531.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.