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Finding the Third Proportional to 270,192 and 592,272

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Solution

The third proportional to 270,192 and 592,272 is: 1,298,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,192 : 592,272 = 592,272 : x
  2. Step 2: Convert to fraction form
    270,192/592,272 = 592,272/x
  3. Step 3: Cross multiply
    270,192x = 592,272 × 592,272
  4. Step 4: Simplify right side
    270,192x = 350,786,121,984
  5. Step 5: Solve for x
    x = 350,786,121,984/270,192
  6. Step 6: Final answer
    x = 1,298,284.63

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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.