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Finding the Third Proportional to 366,935 and 773,659

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Solution

The third proportional to 366,935 and 773,659 is: 1,631,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,935 : 773,659 = 773,659 : x
  2. Step 2: Convert to fraction form
    366,935/773,659 = 773,659/x
  3. Step 3: Cross multiply
    366,935x = 773,659 × 773,659
  4. Step 4: Simplify right side
    366,935x = 598,548,248,281
  5. Step 5: Solve for x
    x = 598,548,248,281/366,935
  6. Step 6: Final answer
    x = 1,631,210.56

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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.