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Finding the Third Proportional to 233,467 and 510,182

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Solution

The third proportional to 233,467 and 510,182 is: 1,114,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,467 : 510,182 = 510,182 : x
  2. Step 2: Convert to fraction form
    233,467/510,182 = 510,182/x
  3. Step 3: Cross multiply
    233,467x = 510,182 × 510,182
  4. Step 4: Simplify right side
    233,467x = 260,285,673,124
  5. Step 5: Solve for x
    x = 260,285,673,124/233,467
  6. Step 6: Final answer
    x = 1,114,871.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.