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Finding the Third Proportional to 306,048 and 475,038

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Solution

The third proportional to 306,048 and 475,038 is: 737,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,048 : 475,038 = 475,038 : x
  2. Step 2: Convert to fraction form
    306,048/475,038 = 475,038/x
  3. Step 3: Cross multiply
    306,048x = 475,038 × 475,038
  4. Step 4: Simplify right side
    306,048x = 225,661,101,444
  5. Step 5: Solve for x
    x = 225,661,101,444/306,048
  6. Step 6: Final answer
    x = 737,338.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.