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Finding the Third Proportional to 233,655.75 and 510,556.50

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Solution

The third proportional to 233,655.75 and 510,556.50 is: 1,115,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,655.75 : 510,556.50 = 510,556.50 : x
  2. Step 2: Convert to fraction form
    233,655.75/510,556.50 = 510,556.50/x
  3. Step 3: Cross multiply
    233,655.75x = 510,556.50 × 510,556.50
  4. Step 4: Simplify right side
    233,655.75x = 260,667,939,692.25
  5. Step 5: Solve for x
    x = 260,667,939,692.25/233,655.75
  6. Step 6: Final answer
    x = 1,115,606.78

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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.