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Finding the Third Proportional to 354,580 and 768,235

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Solution

The third proportional to 354,580 and 768,235 is: 1,664,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,580 : 768,235 = 768,235 : x
  2. Step 2: Convert to fraction form
    354,580/768,235 = 768,235/x
  3. Step 3: Cross multiply
    354,580x = 768,235 × 768,235
  4. Step 4: Simplify right side
    354,580x = 590,185,015,225
  5. Step 5: Solve for x
    x = 590,185,015,225/354,580
  6. Step 6: Final answer
    x = 1,664,462.22

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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.