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Finding the Third Proportional to 306,501 and 475,695

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Solution

The third proportional to 306,501 and 475,695 is: 738,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,501 : 475,695 = 475,695 : x
  2. Step 2: Convert to fraction form
    306,501/475,695 = 475,695/x
  3. Step 3: Cross multiply
    306,501x = 475,695 × 475,695
  4. Step 4: Simplify right side
    306,501x = 226,285,733,025
  5. Step 5: Solve for x
    x = 226,285,733,025/306,501
  6. Step 6: Final answer
    x = 738,287.10

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