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Finding the Third Proportional to 335,790 and 730,656

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Solution

The third proportional to 335,790 and 730,656 is: 1,589,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,790 : 730,656 = 730,656 : x
  2. Step 2: Convert to fraction form
    335,790/730,656 = 730,656/x
  3. Step 3: Cross multiply
    335,790x = 730,656 × 730,656
  4. Step 4: Simplify right side
    335,790x = 533,858,190,336
  5. Step 5: Solve for x
    x = 533,858,190,336/335,790
  6. Step 6: Final answer
    x = 1,589,857.32

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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.