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Finding the Third Proportional to 265,261 and 542,778

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Solution

The third proportional to 265,261 and 542,778 is: 1,110,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,261 : 542,778 = 542,778 : x
  2. Step 2: Convert to fraction form
    265,261/542,778 = 542,778/x
  3. Step 3: Cross multiply
    265,261x = 542,778 × 542,778
  4. Step 4: Simplify right side
    265,261x = 294,607,957,284
  5. Step 5: Solve for x
    x = 294,607,957,284/265,261
  6. Step 6: Final answer
    x = 1,110,634.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.