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Finding the Third Proportional to 508,305.38 and 1,058,747.63

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Solution

The third proportional to 508,305.38 and 1,058,747.63 is: 2,205,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,305.38 : 1,058,747.63 = 1,058,747.63 : x
  2. Step 2: Convert to fraction form
    508,305.38/1,058,747.63 = 1,058,747.63/x
  3. Step 3: Cross multiply
    508,305.38x = 1,058,747.63 × 1,058,747.63
  4. Step 4: Simplify right side
    508,305.38x = 1,120,946,533,443.14
  5. Step 5: Solve for x
    x = 1,120,946,533,443.14/508,305.38
  6. Step 6: Final answer
    x = 2,205,262.01

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