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Finding the Third Proportional to 366,960 and 773,708

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Solution

The third proportional to 366,960 and 773,708 is: 1,631,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960 : 773,708 = 773,708 : x
  2. Step 2: Convert to fraction form
    366,960/773,708 = 773,708/x
  3. Step 3: Cross multiply
    366,960x = 773,708 × 773,708
  4. Step 4: Simplify right side
    366,960x = 598,624,069,264
  5. Step 5: Solve for x
    x = 598,624,069,264/366,960
  6. Step 6: Final answer
    x = 1,631,306.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.