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Finding the Third Proportional to 558,748.50 and 1,206,807

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Solution

The third proportional to 558,748.50 and 1,206,807 is: 2,606,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,748.50 : 1,206,807 = 1,206,807 : x
  2. Step 2: Convert to fraction form
    558,748.50/1,206,807 = 1,206,807/x
  3. Step 3: Cross multiply
    558,748.50x = 1,206,807 × 1,206,807
  4. Step 4: Simplify right side
    558,748.50x = 1,456,383,135,249
  5. Step 5: Solve for x
    x = 1,456,383,135,249/558,748.50
  6. Step 6: Final answer
    x = 2,606,509.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.