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Finding the Third Proportional to 270,496 and 577,176

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Solution

The third proportional to 270,496 and 577,176 is: 1,231,560.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,496 : 577,176 = 577,176 : x
  2. Step 2: Convert to fraction form
    270,496/577,176 = 577,176/x
  3. Step 3: Cross multiply
    270,496x = 577,176 × 577,176
  4. Step 4: Simplify right side
    270,496x = 333,132,134,976
  5. Step 5: Solve for x
    x = 333,132,134,976/270,496
  6. Step 6: Final answer
    x = 1,231,560.30

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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.