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Finding the Third Proportional to 270,250 and 592,388

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Solution

The third proportional to 270,250 and 592,388 is: 1,298,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,250 : 592,388 = 592,388 : x
  2. Step 2: Convert to fraction form
    270,250/592,388 = 592,388/x
  3. Step 3: Cross multiply
    270,250x = 592,388 × 592,388
  4. Step 4: Simplify right side
    270,250x = 350,923,542,544
  5. Step 5: Solve for x
    x = 350,923,542,544/270,250
  6. Step 6: Final answer
    x = 1,298,514.50

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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.