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Finding the Third Proportional to 361,830.48 and 770,459.34

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Solution

The third proportional to 361,830.48 and 770,459.34 is: 1,640,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,830.48 : 770,459.34 = 770,459.34 : x
  2. Step 2: Convert to fraction form
    361,830.48/770,459.34 = 770,459.34/x
  3. Step 3: Cross multiply
    361,830.48x = 770,459.34 × 770,459.34
  4. Step 4: Simplify right side
    361,830.48x = 593,607,600,371.68
  5. Step 5: Solve for x
    x = 593,607,600,371.68/361,830.48
  6. Step 6: Final answer
    x = 1,640,568.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.