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Finding the Third Proportional to 335,930.63 and 730,906.88

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Solution

The third proportional to 335,930.63 and 730,906.88 is: 1,590,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,930.63 : 730,906.88 = 730,906.88 : x
  2. Step 2: Convert to fraction form
    335,930.63/730,906.88 = 730,906.88/x
  3. Step 3: Cross multiply
    335,930.63x = 730,906.88 × 730,906.88
  4. Step 4: Simplify right side
    335,930.63x = 534,224,859,922.27
  5. Step 5: Solve for x
    x = 534,224,859,922.27/335,930.63
  6. Step 6: Final answer
    x = 1,590,283.29

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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.