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Finding the Third Proportional to 422,058 and 604,583

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Solution

The third proportional to 422,058 and 604,583 is: 866,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,058 : 604,583 = 604,583 : x
  2. Step 2: Convert to fraction form
    422,058/604,583 = 604,583/x
  3. Step 3: Cross multiply
    422,058x = 604,583 × 604,583
  4. Step 4: Simplify right side
    422,058x = 365,520,603,889
  5. Step 5: Solve for x
    x = 365,520,603,889/422,058
  6. Step 6: Final answer
    x = 866,043.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.