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Finding the Third Proportional to 369,447.75 and 795,868.31

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Solution

The third proportional to 369,447.75 and 795,868.31 is: 1,714,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,447.75 : 795,868.31 = 795,868.31 : x
  2. Step 2: Convert to fraction form
    369,447.75/795,868.31 = 795,868.31/x
  3. Step 3: Cross multiply
    369,447.75x = 795,868.31 × 795,868.31
  4. Step 4: Simplify right side
    369,447.75x = 633,406,370,841.60
  5. Step 5: Solve for x
    x = 633,406,370,841.60/369,447.75
  6. Step 6: Final answer
    x = 1,714,468.07

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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.