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Finding the Third Proportional to 293,271 and 453,384

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Solution

The third proportional to 293,271 and 453,384 is: 700,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,271 : 453,384 = 453,384 : x
  2. Step 2: Convert to fraction form
    293,271/453,384 = 453,384/x
  3. Step 3: Cross multiply
    293,271x = 453,384 × 453,384
  4. Step 4: Simplify right side
    293,271x = 205,557,051,456
  5. Step 5: Solve for x
    x = 205,557,051,456/293,271
  6. Step 6: Final answer
    x = 700,911.62

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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.