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Finding the Third Proportional to 335,796 and 730,668

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Solution

The third proportional to 335,796 and 730,668 is: 1,589,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,796 : 730,668 = 730,668 : x
  2. Step 2: Convert to fraction form
    335,796/730,668 = 730,668/x
  3. Step 3: Cross multiply
    335,796x = 730,668 × 730,668
  4. Step 4: Simplify right side
    335,796x = 533,875,726,224
  5. Step 5: Solve for x
    x = 533,875,726,224/335,796
  6. Step 6: Final answer
    x = 1,589,881.14

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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.