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Finding the Third Proportional to 240,036 and 522,392

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Solution

The third proportional to 240,036 and 522,392 is: 1,136,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,036 : 522,392 = 522,392 : x
  2. Step 2: Convert to fraction form
    240,036/522,392 = 522,392/x
  3. Step 3: Cross multiply
    240,036x = 522,392 × 522,392
  4. Step 4: Simplify right side
    240,036x = 272,893,401,664
  5. Step 5: Solve for x
    x = 272,893,401,664/240,036
  6. Step 6: Final answer
    x = 1,136,885.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.