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Finding the Third Proportional to 306,042 and 475,029

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Solution

The third proportional to 306,042 and 475,029 is: 737,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,042 : 475,029 = 475,029 : x
  2. Step 2: Convert to fraction form
    306,042/475,029 = 475,029/x
  3. Step 3: Cross multiply
    306,042x = 475,029 × 475,029
  4. Step 4: Simplify right side
    306,042x = 225,652,550,841
  5. Step 5: Solve for x
    x = 225,652,550,841/306,042
  6. Step 6: Final answer
    x = 737,325.44

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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.