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Finding the Third Proportional to 369,753 and 757,029

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Solution

The third proportional to 369,753 and 757,029 is: 1,549,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,753 : 757,029 = 757,029 : x
  2. Step 2: Convert to fraction form
    369,753/757,029 = 757,029/x
  3. Step 3: Cross multiply
    369,753x = 757,029 × 757,029
  4. Step 4: Simplify right side
    369,753x = 573,092,906,841
  5. Step 5: Solve for x
    x = 573,092,906,841/369,753
  6. Step 6: Final answer
    x = 1,549,934.43

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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.