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Finding the Third Proportional to 270,556 and 577,328

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Solution

The third proportional to 270,556 and 577,328 is: 1,231,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,556 : 577,328 = 577,328 : x
  2. Step 2: Convert to fraction form
    270,556/577,328 = 577,328/x
  3. Step 3: Cross multiply
    270,556x = 577,328 × 577,328
  4. Step 4: Simplify right side
    270,556x = 333,307,619,584
  5. Step 5: Solve for x
    x = 333,307,619,584/270,556
  6. Step 6: Final answer
    x = 1,231,935.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.