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Finding the Third Proportional to 294,339 and 635,715

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Solution

The third proportional to 294,339 and 635,715 is: 1,373,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,339 : 635,715 = 635,715 : x
  2. Step 2: Convert to fraction form
    294,339/635,715 = 635,715/x
  3. Step 3: Cross multiply
    294,339x = 635,715 × 635,715
  4. Step 4: Simplify right side
    294,339x = 404,133,561,225
  5. Step 5: Solve for x
    x = 404,133,561,225/294,339
  6. Step 6: Final answer
    x = 1,373,020.77

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