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Finding the Third Proportional to 235,924 and 493,717

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Solution

The third proportional to 235,924 and 493,717 is: 1,033,199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,924 : 493,717 = 493,717 : x
  2. Step 2: Convert to fraction form
    235,924/493,717 = 493,717/x
  3. Step 3: Cross multiply
    235,924x = 493,717 × 493,717
  4. Step 4: Simplify right side
    235,924x = 243,756,476,089
  5. Step 5: Solve for x
    x = 243,756,476,089/235,924
  6. Step 6: Final answer
    x = 1,033,199.15

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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.