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Finding the Third Proportional to 265,743 and 403,533

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Solution

The third proportional to 265,743 and 403,533 is: 612,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,743 : 403,533 = 403,533 : x
  2. Step 2: Convert to fraction form
    265,743/403,533 = 403,533/x
  3. Step 3: Cross multiply
    265,743x = 403,533 × 403,533
  4. Step 4: Simplify right side
    265,743x = 162,838,882,089
  5. Step 5: Solve for x
    x = 162,838,882,089/265,743
  6. Step 6: Final answer
    x = 612,768.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.