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Finding the Third Proportional to 264,886 and 577,058

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Solution

The third proportional to 264,886 and 577,058 is: 1,257,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,886 : 577,058 = 577,058 : x
  2. Step 2: Convert to fraction form
    264,886/577,058 = 577,058/x
  3. Step 3: Cross multiply
    264,886x = 577,058 × 577,058
  4. Step 4: Simplify right side
    264,886x = 332,995,935,364
  5. Step 5: Solve for x
    x = 332,995,935,364/264,886
  6. Step 6: Final answer
    x = 1,257,129.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.