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Finding the Third Proportional to 335,603.25 and 730,235.25

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Solution

The third proportional to 335,603.25 and 730,235.25 is: 1,588,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,603.25 : 730,235.25 = 730,235.25 : x
  2. Step 2: Convert to fraction form
    335,603.25/730,235.25 = 730,235.25/x
  3. Step 3: Cross multiply
    335,603.25x = 730,235.25 × 730,235.25
  4. Step 4: Simplify right side
    335,603.25x = 533,243,520,342.56
  5. Step 5: Solve for x
    x = 533,243,520,342.56/335,603.25
  6. Step 6: Final answer
    x = 1,588,910.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.