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Finding the Third Proportional to 687,714 and 950,229

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Solution

The third proportional to 687,714 and 950,229 is: 1,312,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,714 : 950,229 = 950,229 : x
  2. Step 2: Convert to fraction form
    687,714/950,229 = 950,229/x
  3. Step 3: Cross multiply
    687,714x = 950,229 × 950,229
  4. Step 4: Simplify right side
    687,714x = 902,935,152,441
  5. Step 5: Solve for x
    x = 902,935,152,441/687,714
  6. Step 6: Final answer
    x = 1,312,951.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.