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Finding the Third Proportional to 508,314 and 1,058,764

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Solution

The third proportional to 508,314 and 1,058,764 is: 2,205,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,314 : 1,058,764 = 1,058,764 : x
  2. Step 2: Convert to fraction form
    508,314/1,058,764 = 1,058,764/x
  3. Step 3: Cross multiply
    508,314x = 1,058,764 × 1,058,764
  4. Step 4: Simplify right side
    508,314x = 1,120,981,207,696
  5. Step 5: Solve for x
    x = 1,120,981,207,696/508,314
  6. Step 6: Final answer
    x = 2,205,292.81

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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.