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Finding the Third Proportional to 281,900 and 591,480

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Solution

The third proportional to 281,900 and 591,480 is: 1,241,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,900 : 591,480 = 591,480 : x
  2. Step 2: Convert to fraction form
    281,900/591,480 = 591,480/x
  3. Step 3: Cross multiply
    281,900x = 591,480 × 591,480
  4. Step 4: Simplify right side
    281,900x = 349,848,590,400
  5. Step 5: Solve for x
    x = 349,848,590,400/281,900
  6. Step 6: Final answer
    x = 1,241,037.92

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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.