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Finding the Third Proportional to 247,462 and 551,588

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Solution

The third proportional to 247,462 and 551,588 is: 1,229,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,462 : 551,588 = 551,588 : x
  2. Step 2: Convert to fraction form
    247,462/551,588 = 551,588/x
  3. Step 3: Cross multiply
    247,462x = 551,588 × 551,588
  4. Step 4: Simplify right side
    247,462x = 304,249,321,744
  5. Step 5: Solve for x
    x = 304,249,321,744/247,462
  6. Step 6: Final answer
    x = 1,229,478.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.