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Finding the Third Proportional to 198,417 and 468,294

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Solution

The third proportional to 198,417 and 468,294 is: 1,105,244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,417 : 468,294 = 468,294 : x
  2. Step 2: Convert to fraction form
    198,417/468,294 = 468,294/x
  3. Step 3: Cross multiply
    198,417x = 468,294 × 468,294
  4. Step 4: Simplify right side
    198,417x = 219,299,270,436
  5. Step 5: Solve for x
    x = 219,299,270,436/198,417
  6. Step 6: Final answer
    x = 1,105,244.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.