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Finding the Third Proportional to 335,788 and 730,652

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Solution

The third proportional to 335,788 and 730,652 is: 1,589,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,788 : 730,652 = 730,652 : x
  2. Step 2: Convert to fraction form
    335,788/730,652 = 730,652/x
  3. Step 3: Cross multiply
    335,788x = 730,652 × 730,652
  4. Step 4: Simplify right side
    335,788x = 533,852,345,104
  5. Step 5: Solve for x
    x = 533,852,345,104/335,788
  6. Step 6: Final answer
    x = 1,589,849.38

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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.