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Finding the Third Proportional to 233,856 and 511,452

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Solution

The third proportional to 233,856 and 511,452 is: 1,118,565.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,856 : 511,452 = 511,452 : x
  2. Step 2: Convert to fraction form
    233,856/511,452 = 511,452/x
  3. Step 3: Cross multiply
    233,856x = 511,452 × 511,452
  4. Step 4: Simplify right side
    233,856x = 261,583,148,304
  5. Step 5: Solve for x
    x = 261,583,148,304/233,856
  6. Step 6: Final answer
    x = 1,118,565.05

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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.