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Finding the Third Proportional to 403,228 and 593,162

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Solution

The third proportional to 403,228 and 593,162 is: 872,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,228 : 593,162 = 593,162 : x
  2. Step 2: Convert to fraction form
    403,228/593,162 = 593,162/x
  3. Step 3: Cross multiply
    403,228x = 593,162 × 593,162
  4. Step 4: Simplify right side
    403,228x = 351,841,158,244
  5. Step 5: Solve for x
    x = 351,841,158,244/403,228
  6. Step 6: Final answer
    x = 872,561.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.