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Finding the Third Proportional to 508,258 and 1,058,623

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Solution

The third proportional to 508,258 and 1,058,623 is: 2,204,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,258 : 1,058,623 = 1,058,623 : x
  2. Step 2: Convert to fraction form
    508,258/1,058,623 = 1,058,623/x
  3. Step 3: Cross multiply
    508,258x = 1,058,623 × 1,058,623
  4. Step 4: Simplify right side
    508,258x = 1,120,682,656,129
  5. Step 5: Solve for x
    x = 1,120,682,656,129/508,258
  6. Step 6: Final answer
    x = 2,204,948.38

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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.