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Finding the Third Proportional to 293,622 and 453,705

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Solution

The third proportional to 293,622 and 453,705 is: 701,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,622 : 453,705 = 453,705 : x
  2. Step 2: Convert to fraction form
    293,622/453,705 = 453,705/x
  3. Step 3: Cross multiply
    293,622x = 453,705 × 453,705
  4. Step 4: Simplify right side
    293,622x = 205,848,227,025
  5. Step 5: Solve for x
    x = 205,848,227,025/293,622
  6. Step 6: Final answer
    x = 701,065.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.