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Finding the Third Proportional to 364,401 and 752,143.50

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Solution

The third proportional to 364,401 and 752,143.50 is: 1,552,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,401 : 752,143.50 = 752,143.50 : x
  2. Step 2: Convert to fraction form
    364,401/752,143.50 = 752,143.50/x
  3. Step 3: Cross multiply
    364,401x = 752,143.50 × 752,143.50
  4. Step 4: Simplify right side
    364,401x = 565,719,844,592.25
  5. Step 5: Solve for x
    x = 565,719,844,592.25/364,401
  6. Step 6: Final answer
    x = 1,552,465.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.