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Finding the Third Proportional to 281,904 and 591,485

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Solution

The third proportional to 281,904 and 591,485 is: 1,241,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,904 : 591,485 = 591,485 : x
  2. Step 2: Convert to fraction form
    281,904/591,485 = 591,485/x
  3. Step 3: Cross multiply
    281,904x = 591,485 × 591,485
  4. Step 4: Simplify right side
    281,904x = 349,854,505,225
  5. Step 5: Solve for x
    x = 349,854,505,225/281,904
  6. Step 6: Final answer
    x = 1,241,041.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.