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Finding the Third Proportional to 233,776 and 511,292

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Solution

The third proportional to 233,776 and 511,292 is: 1,118,247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,776 : 511,292 = 511,292 : x
  2. Step 2: Convert to fraction form
    233,776/511,292 = 511,292/x
  3. Step 3: Cross multiply
    233,776x = 511,292 × 511,292
  4. Step 4: Simplify right side
    233,776x = 261,419,509,264
  5. Step 5: Solve for x
    x = 261,419,509,264/233,776
  6. Step 6: Final answer
    x = 1,118,247.85

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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.