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Finding the Third Proportional to 293,760 and 604,908

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Solution

The third proportional to 293,760 and 604,908 is: 1,245,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,760 : 604,908 = 604,908 : x
  2. Step 2: Convert to fraction form
    293,760/604,908 = 604,908/x
  3. Step 3: Cross multiply
    293,760x = 604,908 × 604,908
  4. Step 4: Simplify right side
    293,760x = 365,913,688,464
  5. Step 5: Solve for x
    x = 365,913,688,464/293,760
  6. Step 6: Final answer
    x = 1,245,621.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.