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Finding the Third Proportional to 270,910 and 593,205

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Solution

The third proportional to 270,910 and 593,205 is: 1,298,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,910 : 593,205 = 593,205 : x
  2. Step 2: Convert to fraction form
    270,910/593,205 = 593,205/x
  3. Step 3: Cross multiply
    270,910x = 593,205 × 593,205
  4. Step 4: Simplify right side
    270,910x = 351,892,172,025
  5. Step 5: Solve for x
    x = 351,892,172,025/270,910
  6. Step 6: Final answer
    x = 1,298,926.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.