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Finding the Third Proportional to 439,285 and 596,720

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Solution

The third proportional to 439,285 and 596,720 is: 810,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,285 : 596,720 = 596,720 : x
  2. Step 2: Convert to fraction form
    439,285/596,720 = 596,720/x
  3. Step 3: Cross multiply
    439,285x = 596,720 × 596,720
  4. Step 4: Simplify right side
    439,285x = 356,074,758,400
  5. Step 5: Solve for x
    x = 356,074,758,400/439,285
  6. Step 6: Final answer
    x = 810,578.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.