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Finding the Third Proportional to 293,554 and 453,593

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Solution

The third proportional to 293,554 and 453,593 is: 700,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,554 : 453,593 = 453,593 : x
  2. Step 2: Convert to fraction form
    293,554/453,593 = 453,593/x
  3. Step 3: Cross multiply
    293,554x = 453,593 × 453,593
  4. Step 4: Simplify right side
    293,554x = 205,746,609,649
  5. Step 5: Solve for x
    x = 205,746,609,649/293,554
  6. Step 6: Final answer
    x = 700,881.64

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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.