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Finding the Third Proportional to 247,424 and 551,510

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Solution

The third proportional to 247,424 and 551,510 is: 1,229,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,424 : 551,510 = 551,510 : x
  2. Step 2: Convert to fraction form
    247,424/551,510 = 551,510/x
  3. Step 3: Cross multiply
    247,424x = 551,510 × 551,510
  4. Step 4: Simplify right side
    247,424x = 304,163,280,100
  5. Step 5: Solve for x
    x = 304,163,280,100/247,424
  6. Step 6: Final answer
    x = 1,229,320.03

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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.