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Finding the Third Proportional to 291,633.75 and 606,546

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Solution

The third proportional to 291,633.75 and 606,546 is: 1,261,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,633.75 : 606,546 = 606,546 : x
  2. Step 2: Convert to fraction form
    291,633.75/606,546 = 606,546/x
  3. Step 3: Cross multiply
    291,633.75x = 606,546 × 606,546
  4. Step 4: Simplify right side
    291,633.75x = 367,898,050,116
  5. Step 5: Solve for x
    x = 367,898,050,116/291,633.75
  6. Step 6: Final answer
    x = 1,261,507.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.