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Finding the Third Proportional to 349,564.50 and 757,446.75

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Solution

The third proportional to 349,564.50 and 757,446.75 is: 1,641,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,564.50 : 757,446.75 = 757,446.75 : x
  2. Step 2: Convert to fraction form
    349,564.50/757,446.75 = 757,446.75/x
  3. Step 3: Cross multiply
    349,564.50x = 757,446.75 × 757,446.75
  4. Step 4: Simplify right side
    349,564.50x = 573,725,579,085.56
  5. Step 5: Solve for x
    x = 573,725,579,085.56/349,564.50
  6. Step 6: Final answer
    x = 1,641,258.13

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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.