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Finding the Third Proportional to 410,166 and 620,715

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Solution

The third proportional to 410,166 and 620,715 is: 939,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,166 : 620,715 = 620,715 : x
  2. Step 2: Convert to fraction form
    410,166/620,715 = 620,715/x
  3. Step 3: Cross multiply
    410,166x = 620,715 × 620,715
  4. Step 4: Simplify right side
    410,166x = 385,287,111,225
  5. Step 5: Solve for x
    x = 385,287,111,225/410,166
  6. Step 6: Final answer
    x = 939,344.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.