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Finding the Third Proportional to 422,058.50 and 604,583.75

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Solution

The third proportional to 422,058.50 and 604,583.75 is: 866,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,058.50 : 604,583.75 = 604,583.75 : x
  2. Step 2: Convert to fraction form
    422,058.50/604,583.75 = 604,583.75/x
  3. Step 3: Cross multiply
    422,058.50x = 604,583.75 × 604,583.75
  4. Step 4: Simplify right side
    422,058.50x = 365,521,510,764.06
  5. Step 5: Solve for x
    x = 365,521,510,764.06/422,058.50
  6. Step 6: Final answer
    x = 866,044.66

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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.