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Finding the Third Proportional to 270,464 and 577,114

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Solution

The third proportional to 270,464 and 577,114 is: 1,231,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,464 : 577,114 = 577,114 : x
  2. Step 2: Convert to fraction form
    270,464/577,114 = 577,114/x
  3. Step 3: Cross multiply
    270,464x = 577,114 × 577,114
  4. Step 4: Simplify right side
    270,464x = 333,060,568,996
  5. Step 5: Solve for x
    x = 333,060,568,996/270,464
  6. Step 6: Final answer
    x = 1,231,441.41

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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.