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Finding the Third Proportional to 338,037 and 506,005.50

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Solution

The third proportional to 338,037 and 506,005.50 is: 757,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,037 : 506,005.50 = 506,005.50 : x
  2. Step 2: Convert to fraction form
    338,037/506,005.50 = 506,005.50/x
  3. Step 3: Cross multiply
    338,037x = 506,005.50 × 506,005.50
  4. Step 4: Simplify right side
    338,037x = 256,041,566,030.25
  5. Step 5: Solve for x
    x = 256,041,566,030.25/338,037
  6. Step 6: Final answer
    x = 757,436.51

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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.