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Finding the Third Proportional to 361,756 and 785,770

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Solution

The third proportional to 361,756 and 785,770 is: 1,706,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,756 : 785,770 = 785,770 : x
  2. Step 2: Convert to fraction form
    361,756/785,770 = 785,770/x
  3. Step 3: Cross multiply
    361,756x = 785,770 × 785,770
  4. Step 4: Simplify right side
    361,756x = 617,434,492,900
  5. Step 5: Solve for x
    x = 617,434,492,900/361,756
  6. Step 6: Final answer
    x = 1,706,770.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.