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Finding the Third Proportional to 233,868 and 514,392

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Solution

The third proportional to 233,868 and 514,392 is: 1,131,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,868 : 514,392 = 514,392 : x
  2. Step 2: Convert to fraction form
    233,868/514,392 = 514,392/x
  3. Step 3: Cross multiply
    233,868x = 514,392 × 514,392
  4. Step 4: Simplify right side
    233,868x = 264,599,129,664
  5. Step 5: Solve for x
    x = 264,599,129,664/233,868
  6. Step 6: Final answer
    x = 1,131,403.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.