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Finding the Third Proportional to 335,849 and 730,111

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Solution

The third proportional to 335,849 and 730,111 is: 1,587,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,849 : 730,111 = 730,111 : x
  2. Step 2: Convert to fraction form
    335,849/730,111 = 730,111/x
  3. Step 3: Cross multiply
    335,849x = 730,111 × 730,111
  4. Step 4: Simplify right side
    335,849x = 533,062,072,321
  5. Step 5: Solve for x
    x = 533,062,072,321/335,849
  6. Step 6: Final answer
    x = 1,587,207.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.