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Finding the Third Proportional to 299,722 and 464,058

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Solution

The third proportional to 299,722 and 464,058 is: 718,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,722 : 464,058 = 464,058 : x
  2. Step 2: Convert to fraction form
    299,722/464,058 = 464,058/x
  3. Step 3: Cross multiply
    299,722x = 464,058 × 464,058
  4. Step 4: Simplify right side
    299,722x = 215,349,827,364
  5. Step 5: Solve for x
    x = 215,349,827,364/299,722
  6. Step 6: Final answer
    x = 718,498.57

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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.