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Finding the Third Proportional to 344,716.59 and 757,457.16

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Solution

The third proportional to 344,716.59 and 757,457.16 is: 1,664,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,716.59 : 757,457.16 = 757,457.16 : x
  2. Step 2: Convert to fraction form
    344,716.59/757,457.16 = 757,457.16/x
  3. Step 3: Cross multiply
    344,716.59x = 757,457.16 × 757,457.16
  4. Step 4: Simplify right side
    344,716.59x = 573,741,343,554.34
  5. Step 5: Solve for x
    x = 573,741,343,554.34/344,716.59
  6. Step 6: Final answer
    x = 1,664,385.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.