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Finding the Third Proportional to 635,719 and 960,058

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Solution

The third proportional to 635,719 and 960,058 is: 1,449,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,719 : 960,058 = 960,058 : x
  2. Step 2: Convert to fraction form
    635,719/960,058 = 960,058/x
  3. Step 3: Cross multiply
    635,719x = 960,058 × 960,058
  4. Step 4: Simplify right side
    635,719x = 921,711,363,364
  5. Step 5: Solve for x
    x = 921,711,363,364/635,719
  6. Step 6: Final answer
    x = 1,449,872.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.