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Finding the Third Proportional to 349,804 and 773,116

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Solution

The third proportional to 349,804 and 773,116 is: 1,708,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,804 : 773,116 = 773,116 : x
  2. Step 2: Convert to fraction form
    349,804/773,116 = 773,116/x
  3. Step 3: Cross multiply
    349,804x = 773,116 × 773,116
  4. Step 4: Simplify right side
    349,804x = 597,708,349,456
  5. Step 5: Solve for x
    x = 597,708,349,456/349,804
  6. Step 6: Final answer
    x = 1,708,695.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.