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Finding the Third Proportional to 275,435 and 591,046

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Solution

The third proportional to 275,435 and 591,046 is: 1,268,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,435 : 591,046 = 591,046 : x
  2. Step 2: Convert to fraction form
    275,435/591,046 = 591,046/x
  3. Step 3: Cross multiply
    275,435x = 591,046 × 591,046
  4. Step 4: Simplify right side
    275,435x = 349,335,374,116
  5. Step 5: Solve for x
    x = 349,335,374,116/275,435
  6. Step 6: Final answer
    x = 1,268,304.22

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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.