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Finding the Third Proportional to 270,434 and 577,062

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Solution

The third proportional to 270,434 and 577,062 is: 1,231,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,434 : 577,062 = 577,062 : x
  2. Step 2: Convert to fraction form
    270,434/577,062 = 577,062/x
  3. Step 3: Cross multiply
    270,434x = 577,062 × 577,062
  4. Step 4: Simplify right side
    270,434x = 333,000,551,844
  5. Step 5: Solve for x
    x = 333,000,551,844/270,434
  6. Step 6: Final answer
    x = 1,231,356.09

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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.