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Finding the Third Proportional to 408,970 and 619,791

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Solution

The third proportional to 408,970 and 619,791 is: 939,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,970 : 619,791 = 619,791 : x
  2. Step 2: Convert to fraction form
    408,970/619,791 = 619,791/x
  3. Step 3: Cross multiply
    408,970x = 619,791 × 619,791
  4. Step 4: Simplify right side
    408,970x = 384,140,883,681
  5. Step 5: Solve for x
    x = 384,140,883,681/408,970
  6. Step 6: Final answer
    x = 939,288.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.