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Finding the Third Proportional to 299,314.50 and 665,058

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Solution

The third proportional to 299,314.50 and 665,058 is: 1,477,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,314.50 : 665,058 = 665,058 : x
  2. Step 2: Convert to fraction form
    299,314.50/665,058 = 665,058/x
  3. Step 3: Cross multiply
    299,314.50x = 665,058 × 665,058
  4. Step 4: Simplify right side
    299,314.50x = 442,302,143,364
  5. Step 5: Solve for x
    x = 442,302,143,364/299,314.50
  6. Step 6: Final answer
    x = 1,477,717.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.