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Finding the Third Proportional to 483,408 and 1,058,508

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Solution

The third proportional to 483,408 and 1,058,508 is: 2,317,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,408 : 1,058,508 = 1,058,508 : x
  2. Step 2: Convert to fraction form
    483,408/1,058,508 = 1,058,508/x
  3. Step 3: Cross multiply
    483,408x = 1,058,508 × 1,058,508
  4. Step 4: Simplify right side
    483,408x = 1,120,439,186,064
  5. Step 5: Solve for x
    x = 1,120,439,186,064/483,408
  6. Step 6: Final answer
    x = 2,317,791.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.