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Finding the Third Proportional to 265,767 and 403,569

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Solution

The third proportional to 265,767 and 403,569 is: 612,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,767 : 403,569 = 403,569 : x
  2. Step 2: Convert to fraction form
    265,767/403,569 = 403,569/x
  3. Step 3: Cross multiply
    265,767x = 403,569 × 403,569
  4. Step 4: Simplify right side
    265,767x = 162,867,937,761
  5. Step 5: Solve for x
    x = 162,867,937,761/265,767
  6. Step 6: Final answer
    x = 612,822.28

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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.