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Finding the Third Proportional to 293,275 and 453,390

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Solution

The third proportional to 293,275 and 453,390 is: 700,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,275 : 453,390 = 453,390 : x
  2. Step 2: Convert to fraction form
    293,275/453,390 = 453,390/x
  3. Step 3: Cross multiply
    293,275x = 453,390 × 453,390
  4. Step 4: Simplify right side
    293,275x = 205,562,492,100
  5. Step 5: Solve for x
    x = 205,562,492,100/293,275
  6. Step 6: Final answer
    x = 700,920.61

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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.