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Finding the Third Proportional to 508,263.75 and 1,058,664.38

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Solution

The third proportional to 508,263.75 and 1,058,664.38 is: 2,205,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,263.75 : 1,058,664.38 = 1,058,664.38 : x
  2. Step 2: Convert to fraction form
    508,263.75/1,058,664.38 = 1,058,664.38/x
  3. Step 3: Cross multiply
    508,263.75x = 1,058,664.38 × 1,058,664.38
  4. Step 4: Simplify right side
    508,263.75x = 1,120,770,258,894.14
  5. Step 5: Solve for x
    x = 1,120,770,258,894.14/508,263.75
  6. Step 6: Final answer
    x = 2,205,095.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.