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Finding the Third Proportional to 234,846 and 511,596

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Solution

The third proportional to 234,846 and 511,596 is: 1,114,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,846 : 511,596 = 511,596 : x
  2. Step 2: Convert to fraction form
    234,846/511,596 = 511,596/x
  3. Step 3: Cross multiply
    234,846x = 511,596 × 511,596
  4. Step 4: Simplify right side
    234,846x = 261,730,467,216
  5. Step 5: Solve for x
    x = 261,730,467,216/234,846
  6. Step 6: Final answer
    x = 1,114,477.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.