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Finding the Third Proportional to 235,926 and 493,721

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Solution

The third proportional to 235,926 and 493,721 is: 1,033,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,926 : 493,721 = 493,721 : x
  2. Step 2: Convert to fraction form
    235,926/493,721 = 493,721/x
  3. Step 3: Cross multiply
    235,926x = 493,721 × 493,721
  4. Step 4: Simplify right side
    235,926x = 243,760,425,841
  5. Step 5: Solve for x
    x = 243,760,425,841/235,926
  6. Step 6: Final answer
    x = 1,033,207.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.