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Finding the Third Proportional to 244,188 and 523,417.50

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Solution

The third proportional to 244,188 and 523,417.50 is: 1,121,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,188 : 523,417.50 = 523,417.50 : x
  2. Step 2: Convert to fraction form
    244,188/523,417.50 = 523,417.50/x
  3. Step 3: Cross multiply
    244,188x = 523,417.50 × 523,417.50
  4. Step 4: Simplify right side
    244,188x = 273,965,879,306.25
  5. Step 5: Solve for x
    x = 273,965,879,306.25/244,188
  6. Step 6: Final answer
    x = 1,121,946.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.