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Finding the Third Proportional to 233,646 and 511,518

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Solution

The third proportional to 233,646 and 511,518 is: 1,119,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,646 : 511,518 = 511,518 : x
  2. Step 2: Convert to fraction form
    233,646/511,518 = 511,518/x
  3. Step 3: Cross multiply
    233,646x = 511,518 × 511,518
  4. Step 4: Simplify right side
    233,646x = 261,650,664,324
  5. Step 5: Solve for x
    x = 261,650,664,324/233,646
  6. Step 6: Final answer
    x = 1,119,859.38

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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.