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Finding the Third Proportional to 369,797 and 757,118

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Solution

The third proportional to 369,797 and 757,118 is: 1,550,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,797 : 757,118 = 757,118 : x
  2. Step 2: Convert to fraction form
    369,797/757,118 = 757,118/x
  3. Step 3: Cross multiply
    369,797x = 757,118 × 757,118
  4. Step 4: Simplify right side
    369,797x = 573,227,665,924
  5. Step 5: Solve for x
    x = 573,227,665,924/369,797
  6. Step 6: Final answer
    x = 1,550,114.43

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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.