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Finding the Third Proportional to 233,814 and 506,976

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Solution

The third proportional to 233,814 and 506,976 is: 1,099,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,814 : 506,976 = 506,976 : x
  2. Step 2: Convert to fraction form
    233,814/506,976 = 506,976/x
  3. Step 3: Cross multiply
    233,814x = 506,976 × 506,976
  4. Step 4: Simplify right side
    233,814x = 257,024,664,576
  5. Step 5: Solve for x
    x = 257,024,664,576/233,814
  6. Step 6: Final answer
    x = 1,099,269.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.