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Finding the Third Proportional to 235,429.50 and 523,165.50

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Solution

The third proportional to 235,429.50 and 523,165.50 is: 1,162,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,429.50 : 523,165.50 = 523,165.50 : x
  2. Step 2: Convert to fraction form
    235,429.50/523,165.50 = 523,165.50/x
  3. Step 3: Cross multiply
    235,429.50x = 523,165.50 × 523,165.50
  4. Step 4: Simplify right side
    235,429.50x = 273,702,140,390.25
  5. Step 5: Solve for x
    x = 273,702,140,390.25/235,429.50
  6. Step 6: Final answer
    x = 1,162,565.19

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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.