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Finding the Third Proportional to 362,232 and 779,625

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Solution

The third proportional to 362,232 and 779,625 is: 1,677,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,232 : 779,625 = 779,625 : x
  2. Step 2: Convert to fraction form
    362,232/779,625 = 779,625/x
  3. Step 3: Cross multiply
    362,232x = 779,625 × 779,625
  4. Step 4: Simplify right side
    362,232x = 607,815,140,625
  5. Step 5: Solve for x
    x = 607,815,140,625/362,232
  6. Step 6: Final answer
    x = 1,677,971.96

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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.