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Finding the Third Proportional to 340,721.44 and 716,733.56

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Solution

The third proportional to 340,721.44 and 716,733.56 is: 1,507,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,721.44 : 716,733.56 = 716,733.56 : x
  2. Step 2: Convert to fraction form
    340,721.44/716,733.56 = 716,733.56/x
  3. Step 3: Cross multiply
    340,721.44x = 716,733.56 × 716,733.56
  4. Step 4: Simplify right side
    340,721.44x = 513,706,999,613.94
  5. Step 5: Solve for x
    x = 513,706,999,613.94/340,721.44
  6. Step 6: Final answer
    x = 1,507,703.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.