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Finding the Third Proportional to 262,401 and 551,239.50

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Solution

The third proportional to 262,401 and 551,239.50 is: 1,158,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,401 : 551,239.50 = 551,239.50 : x
  2. Step 2: Convert to fraction form
    262,401/551,239.50 = 551,239.50/x
  3. Step 3: Cross multiply
    262,401x = 551,239.50 × 551,239.50
  4. Step 4: Simplify right side
    262,401x = 303,864,986,360.25
  5. Step 5: Solve for x
    x = 303,864,986,360.25/262,401
  6. Step 6: Final answer
    x = 1,158,017.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.