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Finding the Third Proportional to 734,708 and 1,058,236

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Solution

The third proportional to 734,708 and 1,058,236 is: 1,524,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,708 : 1,058,236 = 1,058,236 : x
  2. Step 2: Convert to fraction form
    734,708/1,058,236 = 1,058,236/x
  3. Step 3: Cross multiply
    734,708x = 1,058,236 × 1,058,236
  4. Step 4: Simplify right side
    734,708x = 1,119,863,431,696
  5. Step 5: Solve for x
    x = 1,119,863,431,696/734,708
  6. Step 6: Final answer
    x = 1,524,229.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.