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Finding the Third Proportional to 265,446 and 577,542

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Solution

The third proportional to 265,446 and 577,542 is: 1,256,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,446 : 577,542 = 577,542 : x
  2. Step 2: Convert to fraction form
    265,446/577,542 = 577,542/x
  3. Step 3: Cross multiply
    265,446x = 577,542 × 577,542
  4. Step 4: Simplify right side
    265,446x = 333,554,761,764
  5. Step 5: Solve for x
    x = 333,554,761,764/265,446
  6. Step 6: Final answer
    x = 1,256,582.36

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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.