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Finding the Third Proportional to 337,244.77 and 722,564.93

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Solution

The third proportional to 337,244.77 and 722,564.93 is: 1,548,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,244.77 : 722,564.93 = 722,564.93 : x
  2. Step 2: Convert to fraction form
    337,244.77/722,564.93 = 722,564.93/x
  3. Step 3: Cross multiply
    337,244.77x = 722,564.93 × 722,564.93
  4. Step 4: Simplify right side
    337,244.77x = 522,100,077,614.30
  5. Step 5: Solve for x
    x = 522,100,077,614.30/337,244.77
  6. Step 6: Final answer
    x = 1,548,133.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.