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Finding the Third Proportional to 441,298 and 661,354

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Solution

The third proportional to 441,298 and 661,354 is: 991,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,298 : 661,354 = 661,354 : x
  2. Step 2: Convert to fraction form
    441,298/661,354 = 661,354/x
  3. Step 3: Cross multiply
    441,298x = 661,354 × 661,354
  4. Step 4: Simplify right side
    441,298x = 437,389,113,316
  5. Step 5: Solve for x
    x = 437,389,113,316/441,298
  6. Step 6: Final answer
    x = 991,142.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.