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Finding the Third Proportional to 273,699 and 587,675.25

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Solution

The third proportional to 273,699 and 587,675.25 is: 1,261,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,699 : 587,675.25 = 587,675.25 : x
  2. Step 2: Convert to fraction form
    273,699/587,675.25 = 587,675.25/x
  3. Step 3: Cross multiply
    273,699x = 587,675.25 × 587,675.25
  4. Step 4: Simplify right side
    273,699x = 345,362,199,462.56
  5. Step 5: Solve for x
    x = 345,362,199,462.56/273,699
  6. Step 6: Final answer
    x = 1,261,832.16

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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.