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Finding the Third Proportional to 369,749 and 757,021

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Solution

The third proportional to 369,749 and 757,021 is: 1,549,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,749 : 757,021 = 757,021 : x
  2. Step 2: Convert to fraction form
    369,749/757,021 = 757,021/x
  3. Step 3: Cross multiply
    369,749x = 757,021 × 757,021
  4. Step 4: Simplify right side
    369,749x = 573,080,794,441
  5. Step 5: Solve for x
    x = 573,080,794,441/369,749
  6. Step 6: Final answer
    x = 1,549,918.44

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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.