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Finding the Third Proportional to 335,913.80 and 730,874.47

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Solution

The third proportional to 335,913.80 and 730,874.47 is: 1,590,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,913.80 : 730,874.47 = 730,874.47 : x
  2. Step 2: Convert to fraction form
    335,913.80/730,874.47 = 730,874.47/x
  3. Step 3: Cross multiply
    335,913.80x = 730,874.47 × 730,874.47
  4. Step 4: Simplify right side
    335,913.80x = 534,177,490,498.10
  5. Step 5: Solve for x
    x = 534,177,490,498.10/335,913.80
  6. Step 6: Final answer
    x = 1,590,221.91

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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.