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Finding the Third Proportional to 269,215.44 and 416,804.63

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Solution

The third proportional to 269,215.44 and 416,804.63 is: 645,305.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,215.44 : 416,804.63 = 416,804.63 : x
  2. Step 2: Convert to fraction form
    269,215.44/416,804.63 = 416,804.63/x
  3. Step 3: Cross multiply
    269,215.44x = 416,804.63 × 416,804.63
  4. Step 4: Simplify right side
    269,215.44x = 173,726,095,421.39
  5. Step 5: Solve for x
    x = 173,726,095,421.39/269,215.44
  6. Step 6: Final answer
    x = 645,305.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.