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Finding the Third Proportional to 365,666 and 552,395

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Solution

The third proportional to 365,666 and 552,395 is: 834,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,666 : 552,395 = 552,395 : x
  2. Step 2: Convert to fraction form
    365,666/552,395 = 552,395/x
  3. Step 3: Cross multiply
    365,666x = 552,395 × 552,395
  4. Step 4: Simplify right side
    365,666x = 305,140,236,025
  5. Step 5: Solve for x
    x = 305,140,236,025/365,666
  6. Step 6: Final answer
    x = 834,478.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.