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Finding the Third Proportional to 577,273.50 and 1,238,608.13

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Solution

The third proportional to 577,273.50 and 1,238,608.13 is: 2,657,579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,273.50 : 1,238,608.13 = 1,238,608.13 : x
  2. Step 2: Convert to fraction form
    577,273.50/1,238,608.13 = 1,238,608.13/x
  3. Step 3: Cross multiply
    577,273.50x = 1,238,608.13 × 1,238,608.13
  4. Step 4: Simplify right side
    577,273.50x = 1,534,150,087,316.02
  5. Step 5: Solve for x
    x = 1,534,150,087,316.02/577,273.50
  6. Step 6: Final answer
    x = 2,657,579.27

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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.