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Finding the Third Proportional to 369,737 and 756,994

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Solution

The third proportional to 369,737 and 756,994 is: 1,549,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,737 : 756,994 = 756,994 : x
  2. Step 2: Convert to fraction form
    369,737/756,994 = 756,994/x
  3. Step 3: Cross multiply
    369,737x = 756,994 × 756,994
  4. Step 4: Simplify right side
    369,737x = 573,039,916,036
  5. Step 5: Solve for x
    x = 573,039,916,036/369,737
  6. Step 6: Final answer
    x = 1,549,858.19

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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.