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Finding the Third Proportional to 233,386 and 511,951

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Solution

The third proportional to 233,386 and 511,951 is: 1,123,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,386 : 511,951 = 511,951 : x
  2. Step 2: Convert to fraction form
    233,386/511,951 = 511,951/x
  3. Step 3: Cross multiply
    233,386x = 511,951 × 511,951
  4. Step 4: Simplify right side
    233,386x = 262,093,826,401
  5. Step 5: Solve for x
    x = 262,093,826,401/233,386
  6. Step 6: Final answer
    x = 1,123,005.78

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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.