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Finding the Third Proportional to 265,986 and 577,182

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Solution

The third proportional to 265,986 and 577,182 is: 1,252,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,986 : 577,182 = 577,182 : x
  2. Step 2: Convert to fraction form
    265,986/577,182 = 577,182/x
  3. Step 3: Cross multiply
    265,986x = 577,182 × 577,182
  4. Step 4: Simplify right side
    265,986x = 333,139,061,124
  5. Step 5: Solve for x
    x = 333,139,061,124/265,986
  6. Step 6: Final answer
    x = 1,252,468.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.