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Finding the Third Proportional to 369,738 and 756,996.75

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Solution

The third proportional to 369,738 and 756,996.75 is: 1,549,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,738 : 756,996.75 = 756,996.75 : x
  2. Step 2: Convert to fraction form
    369,738/756,996.75 = 756,996.75/x
  3. Step 3: Cross multiply
    369,738x = 756,996.75 × 756,996.75
  4. Step 4: Simplify right side
    369,738x = 573,044,079,510.56
  5. Step 5: Solve for x
    x = 573,044,079,510.56/369,738
  6. Step 6: Final answer
    x = 1,549,865.25

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