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Finding the Third Proportional to 350,827 and 488,791

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Solution

The third proportional to 350,827 and 488,791 is: 681,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,827 : 488,791 = 488,791 : x
  2. Step 2: Convert to fraction form
    350,827/488,791 = 488,791/x
  3. Step 3: Cross multiply
    350,827x = 488,791 × 488,791
  4. Step 4: Simplify right side
    350,827x = 238,916,641,681
  5. Step 5: Solve for x
    x = 238,916,641,681/350,827
  6. Step 6: Final answer
    x = 681,009.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.