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Finding the Third Proportional to 338,124.50 and 506,126

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Solution

The third proportional to 338,124.50 and 506,126 is: 757,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,124.50 : 506,126 = 506,126 : x
  2. Step 2: Convert to fraction form
    338,124.50/506,126 = 506,126/x
  3. Step 3: Cross multiply
    338,124.50x = 506,126 × 506,126
  4. Step 4: Simplify right side
    338,124.50x = 256,163,527,876
  5. Step 5: Solve for x
    x = 256,163,527,876/338,124.50
  6. Step 6: Final answer
    x = 757,601.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.