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Finding the Third Proportional to 294,410 and 635,449

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Solution

The third proportional to 294,410 and 635,449 is: 1,371,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,410 : 635,449 = 635,449 : x
  2. Step 2: Convert to fraction form
    294,410/635,449 = 635,449/x
  3. Step 3: Cross multiply
    294,410x = 635,449 × 635,449
  4. Step 4: Simplify right side
    294,410x = 403,795,431,601
  5. Step 5: Solve for x
    x = 403,795,431,601/294,410
  6. Step 6: Final answer
    x = 1,371,541.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.