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Finding the Third Proportional to 235,413 and 523,132.50

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Solution

The third proportional to 235,413 and 523,132.50 is: 1,162,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,413 : 523,132.50 = 523,132.50 : x
  2. Step 2: Convert to fraction form
    235,413/523,132.50 = 523,132.50/x
  3. Step 3: Cross multiply
    235,413x = 523,132.50 × 523,132.50
  4. Step 4: Simplify right side
    235,413x = 273,667,612,556.25
  5. Step 5: Solve for x
    x = 273,667,612,556.25/235,413
  6. Step 6: Final answer
    x = 1,162,500.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.