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Finding the Third Proportional to 369,746 and 757,016

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Solution

The third proportional to 369,746 and 757,016 is: 1,549,910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,746 : 757,016 = 757,016 : x
  2. Step 2: Convert to fraction form
    369,746/757,016 = 757,016/x
  3. Step 3: Cross multiply
    369,746x = 757,016 × 757,016
  4. Step 4: Simplify right side
    369,746x = 573,073,224,256
  5. Step 5: Solve for x
    x = 573,073,224,256/369,746
  6. Step 6: Final answer
    x = 1,549,910.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.