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Finding the Third Proportional to 362,826 and 788,625

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Solution

The third proportional to 362,826 and 788,625 is: 1,714,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,826 : 788,625 = 788,625 : x
  2. Step 2: Convert to fraction form
    362,826/788,625 = 788,625/x
  3. Step 3: Cross multiply
    362,826x = 788,625 × 788,625
  4. Step 4: Simplify right side
    362,826x = 621,929,390,625
  5. Step 5: Solve for x
    x = 621,929,390,625/362,826
  6. Step 6: Final answer
    x = 1,714,125.75

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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.