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Finding the Third Proportional to 265,727 and 403,511

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Solution

The third proportional to 265,727 and 403,511 is: 612,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,727 : 403,511 = 403,511 : x
  2. Step 2: Convert to fraction form
    265,727/403,511 = 403,511/x
  3. Step 3: Cross multiply
    265,727x = 403,511 × 403,511
  4. Step 4: Simplify right side
    265,727x = 162,821,127,121
  5. Step 5: Solve for x
    x = 162,821,127,121/265,727
  6. Step 6: Final answer
    x = 612,738.36

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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.