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Finding the Third Proportional to 517,887 and 794,873.25

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Solution

The third proportional to 517,887 and 794,873.25 is: 1,220,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,887 : 794,873.25 = 794,873.25 : x
  2. Step 2: Convert to fraction form
    517,887/794,873.25 = 794,873.25/x
  3. Step 3: Cross multiply
    517,887x = 794,873.25 × 794,873.25
  4. Step 4: Simplify right side
    517,887x = 631,823,483,565.56
  5. Step 5: Solve for x
    x = 631,823,483,565.56/517,887
  6. Step 6: Final answer
    x = 1,220,002.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.