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Finding the Third Proportional to 336,895.88 and 730,449.56

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Solution

The third proportional to 336,895.88 and 730,449.56 is: 1,583,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,895.88 : 730,449.56 = 730,449.56 : x
  2. Step 2: Convert to fraction form
    336,895.88/730,449.56 = 730,449.56/x
  3. Step 3: Cross multiply
    336,895.88x = 730,449.56 × 730,449.56
  4. Step 4: Simplify right side
    336,895.88x = 533,556,563,356.44
  5. Step 5: Solve for x
    x = 533,556,563,356.44/336,895.88
  6. Step 6: Final answer
    x = 1,583,743.24

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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.