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Finding the Third Proportional to 269,820 and 584,352

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Solution

The third proportional to 269,820 and 584,352 is: 1,265,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,820 : 584,352 = 584,352 : x
  2. Step 2: Convert to fraction form
    269,820/584,352 = 584,352/x
  3. Step 3: Cross multiply
    269,820x = 584,352 × 584,352
  4. Step 4: Simplify right side
    269,820x = 341,467,259,904
  5. Step 5: Solve for x
    x = 341,467,259,904/269,820
  6. Step 6: Final answer
    x = 1,265,537.25

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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.