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Finding the Third Proportional to 410,692 and 614,367

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Solution

The third proportional to 410,692 and 614,367 is: 919,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,692 : 614,367 = 614,367 : x
  2. Step 2: Convert to fraction form
    410,692/614,367 = 614,367/x
  3. Step 3: Cross multiply
    410,692x = 614,367 × 614,367
  4. Step 4: Simplify right side
    410,692x = 377,446,810,689
  5. Step 5: Solve for x
    x = 377,446,810,689/410,692
  6. Step 6: Final answer
    x = 919,050.80

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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.