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Finding the Third Proportional to 255,822 and 542,814

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Solution

The third proportional to 255,822 and 542,814 is: 1,151,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,822 : 542,814 = 542,814 : x
  2. Step 2: Convert to fraction form
    255,822/542,814 = 542,814/x
  3. Step 3: Cross multiply
    255,822x = 542,814 × 542,814
  4. Step 4: Simplify right side
    255,822x = 294,647,038,596
  5. Step 5: Solve for x
    x = 294,647,038,596/255,822
  6. Step 6: Final answer
    x = 1,151,765.83

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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.