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Finding the Third Proportional to 364,845 and 783,636

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Solution

The third proportional to 364,845 and 783,636 is: 1,683,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,845 : 783,636 = 783,636 : x
  2. Step 2: Convert to fraction form
    364,845/783,636 = 783,636/x
  3. Step 3: Cross multiply
    364,845x = 783,636 × 783,636
  4. Step 4: Simplify right side
    364,845x = 614,085,380,496
  5. Step 5: Solve for x
    x = 614,085,380,496/364,845
  6. Step 6: Final answer
    x = 1,683,140.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.