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Finding the Third Proportional to 255,812 and 542,796

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Solution

The third proportional to 255,812 and 542,796 is: 1,151,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,812 : 542,796 = 542,796 : x
  2. Step 2: Convert to fraction form
    255,812/542,796 = 542,796/x
  3. Step 3: Cross multiply
    255,812x = 542,796 × 542,796
  4. Step 4: Simplify right side
    255,812x = 294,627,497,616
  5. Step 5: Solve for x
    x = 294,627,497,616/255,812
  6. Step 6: Final answer
    x = 1,151,734.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.