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Finding the Third Proportional to 436,411.50 and 673,014

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Solution

The third proportional to 436,411.50 and 673,014 is: 1,037,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,411.50 : 673,014 = 673,014 : x
  2. Step 2: Convert to fraction form
    436,411.50/673,014 = 673,014/x
  3. Step 3: Cross multiply
    436,411.50x = 673,014 × 673,014
  4. Step 4: Simplify right side
    436,411.50x = 452,947,844,196
  5. Step 5: Solve for x
    x = 452,947,844,196/436,411.50
  6. Step 6: Final answer
    x = 1,037,891.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.