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Finding the Third Proportional to 306,058 and 475,072

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Solution

The third proportional to 306,058 and 475,072 is: 737,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,058 : 475,072 = 475,072 : x
  2. Step 2: Convert to fraction form
    306,058/475,072 = 475,072/x
  3. Step 3: Cross multiply
    306,058x = 475,072 × 475,072
  4. Step 4: Simplify right side
    306,058x = 225,693,405,184
  5. Step 5: Solve for x
    x = 225,693,405,184/306,058
  6. Step 6: Final answer
    x = 737,420.38

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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.