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Finding the Third Proportional to 335,005.88 and 730,243.69

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Solution

The third proportional to 335,005.88 and 730,243.69 is: 1,591,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,005.88 : 730,243.69 = 730,243.69 : x
  2. Step 2: Convert to fraction form
    335,005.88/730,243.69 = 730,243.69/x
  3. Step 3: Cross multiply
    335,005.88x = 730,243.69 × 730,243.69
  4. Step 4: Simplify right side
    335,005.88x = 533,255,843,133.60
  5. Step 5: Solve for x
    x = 533,255,843,133.60/335,005.88
  6. Step 6: Final answer
    x = 1,591,780.57

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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.