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Finding the Third Proportional to 264,427.50 and 542,932.50

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Solution

The third proportional to 264,427.50 and 542,932.50 is: 1,114,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,427.50 : 542,932.50 = 542,932.50 : x
  2. Step 2: Convert to fraction form
    264,427.50/542,932.50 = 542,932.50/x
  3. Step 3: Cross multiply
    264,427.50x = 542,932.50 × 542,932.50
  4. Step 4: Simplify right side
    264,427.50x = 294,775,699,556.25
  5. Step 5: Solve for x
    x = 294,775,699,556.25/264,427.50
  6. Step 6: Final answer
    x = 1,114,769.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.