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Finding the Third Proportional to 529,910 and 799,845

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Solution

The third proportional to 529,910 and 799,845 is: 1,207,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,910 : 799,845 = 799,845 : x
  2. Step 2: Convert to fraction form
    529,910/799,845 = 799,845/x
  3. Step 3: Cross multiply
    529,910x = 799,845 × 799,845
  4. Step 4: Simplify right side
    529,910x = 639,752,024,025
  5. Step 5: Solve for x
    x = 639,752,024,025/529,910
  6. Step 6: Final answer
    x = 1,207,284.30

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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.