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Finding the Third Proportional to 517,301 and 798,093

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Solution

The third proportional to 517,301 and 798,093 is: 1,231,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,301 : 798,093 = 798,093 : x
  2. Step 2: Convert to fraction form
    517,301/798,093 = 798,093/x
  3. Step 3: Cross multiply
    517,301x = 798,093 × 798,093
  4. Step 4: Simplify right side
    517,301x = 636,952,436,649
  5. Step 5: Solve for x
    x = 636,952,436,649/517,301
  6. Step 6: Final answer
    x = 1,231,299.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.