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Finding the Third Proportional to 269,842 and 584,392

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Solution

The third proportional to 269,842 and 584,392 is: 1,265,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,842 : 584,392 = 584,392 : x
  2. Step 2: Convert to fraction form
    269,842/584,392 = 584,392/x
  3. Step 3: Cross multiply
    269,842x = 584,392 × 584,392
  4. Step 4: Simplify right side
    269,842x = 341,514,009,664
  5. Step 5: Solve for x
    x = 341,514,009,664/269,842
  6. Step 6: Final answer
    x = 1,265,607.32

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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.