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Finding the Third Proportional to 233,347.50 and 511,893

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Solution

The third proportional to 233,347.50 and 511,893 is: 1,122,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,347.50 : 511,893 = 511,893 : x
  2. Step 2: Convert to fraction form
    233,347.50/511,893 = 511,893/x
  3. Step 3: Cross multiply
    233,347.50x = 511,893 × 511,893
  4. Step 4: Simplify right side
    233,347.50x = 262,034,443,449
  5. Step 5: Solve for x
    x = 262,034,443,449/233,347.50
  6. Step 6: Final answer
    x = 1,122,936.58

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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.