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Finding the Third Proportional to 410,682 and 614,352

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Solution

The third proportional to 410,682 and 614,352 is: 919,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,682 : 614,352 = 614,352 : x
  2. Step 2: Convert to fraction form
    410,682/614,352 = 614,352/x
  3. Step 3: Cross multiply
    410,682x = 614,352 × 614,352
  4. Step 4: Simplify right side
    410,682x = 377,428,379,904
  5. Step 5: Solve for x
    x = 377,428,379,904/410,682
  6. Step 6: Final answer
    x = 919,028.30

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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.