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Finding the Third Proportional to 303,058 and 454,588

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Solution

The third proportional to 303,058 and 454,588 is: 681,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,058 : 454,588 = 454,588 : x
  2. Step 2: Convert to fraction form
    303,058/454,588 = 454,588/x
  3. Step 3: Cross multiply
    303,058x = 454,588 × 454,588
  4. Step 4: Simplify right side
    303,058x = 206,650,249,744
  5. Step 5: Solve for x
    x = 206,650,249,744/303,058
  6. Step 6: Final answer
    x = 681,883.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.