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Finding the Third Proportional to 265,828 and 583,327

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Solution

The third proportional to 265,828 and 583,327 is: 1,280,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,828 : 583,327 = 583,327 : x
  2. Step 2: Convert to fraction form
    265,828/583,327 = 583,327/x
  3. Step 3: Cross multiply
    265,828x = 583,327 × 583,327
  4. Step 4: Simplify right side
    265,828x = 340,270,388,929
  5. Step 5: Solve for x
    x = 340,270,388,929/265,828
  6. Step 6: Final answer
    x = 1,280,039.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.