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Finding the Third Proportional to 304,058 and 471,963

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Solution

The third proportional to 304,058 and 471,963 is: 732,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,058 : 471,963 = 471,963 : x
  2. Step 2: Convert to fraction form
    304,058/471,963 = 471,963/x
  3. Step 3: Cross multiply
    304,058x = 471,963 × 471,963
  4. Step 4: Simplify right side
    304,058x = 222,749,073,369
  5. Step 5: Solve for x
    x = 222,749,073,369/304,058
  6. Step 6: Final answer
    x = 732,587.45

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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.