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Finding the Third Proportional to 204,024 and 432,294

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Solution

The third proportional to 204,024 and 432,294 is: 915,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,024 : 432,294 = 432,294 : x
  2. Step 2: Convert to fraction form
    204,024/432,294 = 432,294/x
  3. Step 3: Cross multiply
    204,024x = 432,294 × 432,294
  4. Step 4: Simplify right side
    204,024x = 186,878,102,436
  5. Step 5: Solve for x
    x = 186,878,102,436/204,024
  6. Step 6: Final answer
    x = 915,961.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.