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Finding the Third Proportional to 361,128 and 768,910.50

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Solution

The third proportional to 361,128 and 768,910.50 is: 1,637,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,128 : 768,910.50 = 768,910.50 : x
  2. Step 2: Convert to fraction form
    361,128/768,910.50 = 768,910.50/x
  3. Step 3: Cross multiply
    361,128x = 768,910.50 × 768,910.50
  4. Step 4: Simplify right side
    361,128x = 591,223,357,010.25
  5. Step 5: Solve for x
    x = 591,223,357,010.25/361,128
  6. Step 6: Final answer
    x = 1,637,157.34

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