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Finding the Third Proportional to 395,520 and 588,816

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Solution

The third proportional to 395,520 and 588,816 is: 876,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,520 : 588,816 = 588,816 : x
  2. Step 2: Convert to fraction form
    395,520/588,816 = 588,816/x
  3. Step 3: Cross multiply
    395,520x = 588,816 × 588,816
  4. Step 4: Simplify right side
    395,520x = 346,704,281,856
  5. Step 5: Solve for x
    x = 346,704,281,856/395,520
  6. Step 6: Final answer
    x = 876,578.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.