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Finding the Third Proportional to 397,332 and 599,643

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Solution

The third proportional to 397,332 and 599,643 is: 904,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,332 : 599,643 = 599,643 : x
  2. Step 2: Convert to fraction form
    397,332/599,643 = 599,643/x
  3. Step 3: Cross multiply
    397,332x = 599,643 × 599,643
  4. Step 4: Simplify right side
    397,332x = 359,571,727,449
  5. Step 5: Solve for x
    x = 359,571,727,449/397,332
  6. Step 6: Final answer
    x = 904,965.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.