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Finding the Third Proportional to 311,264 and 695,104

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Solution

The third proportional to 311,264 and 695,104 is: 1,552,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,264 : 695,104 = 695,104 : x
  2. Step 2: Convert to fraction form
    311,264/695,104 = 695,104/x
  3. Step 3: Cross multiply
    311,264x = 695,104 × 695,104
  4. Step 4: Simplify right side
    311,264x = 483,169,570,816
  5. Step 5: Solve for x
    x = 483,169,570,816/311,264
  6. Step 6: Final answer
    x = 1,552,282.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.