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Finding the Third Proportional to 233,280 and 511,758

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Solution

The third proportional to 233,280 and 511,758 is: 1,122,669.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,280 : 511,758 = 511,758 : x
  2. Step 2: Convert to fraction form
    233,280/511,758 = 511,758/x
  3. Step 3: Cross multiply
    233,280x = 511,758 × 511,758
  4. Step 4: Simplify right side
    233,280x = 261,896,250,564
  5. Step 5: Solve for x
    x = 261,896,250,564/233,280
  6. Step 6: Final answer
    x = 1,122,669.11

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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.