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Finding the Third Proportional to 389,756 and 880,328

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Solution

The third proportional to 389,756 and 880,328 is: 1,988,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,756 : 880,328 = 880,328 : x
  2. Step 2: Convert to fraction form
    389,756/880,328 = 880,328/x
  3. Step 3: Cross multiply
    389,756x = 880,328 × 880,328
  4. Step 4: Simplify right side
    389,756x = 774,977,387,584
  5. Step 5: Solve for x
    x = 774,977,387,584/389,756
  6. Step 6: Final answer
    x = 1,988,365.51

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.