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Finding the Third Proportional to 269,235 and 416,835

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Solution

The third proportional to 269,235 and 416,835 is: 645,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,235 : 416,835 = 416,835 : x
  2. Step 2: Convert to fraction form
    269,235/416,835 = 416,835/x
  3. Step 3: Cross multiply
    269,235x = 416,835 × 416,835
  4. Step 4: Simplify right side
    269,235x = 173,751,417,225
  5. Step 5: Solve for x
    x = 173,751,417,225/269,235
  6. Step 6: Final answer
    x = 645,352.27

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