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Finding the Third Proportional to 306,751 and 446,721

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Solution

The third proportional to 306,751 and 446,721 is: 650,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,751 : 446,721 = 446,721 : x
  2. Step 2: Convert to fraction form
    306,751/446,721 = 446,721/x
  3. Step 3: Cross multiply
    306,751x = 446,721 × 446,721
  4. Step 4: Simplify right side
    306,751x = 199,559,651,841
  5. Step 5: Solve for x
    x = 199,559,651,841/306,751
  6. Step 6: Final answer
    x = 650,559.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.