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Finding the Third Proportional to 371,590 and 817,173

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Solution

The third proportional to 371,590 and 817,173 is: 1,797,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,590 : 817,173 = 817,173 : x
  2. Step 2: Convert to fraction form
    371,590/817,173 = 817,173/x
  3. Step 3: Cross multiply
    371,590x = 817,173 × 817,173
  4. Step 4: Simplify right side
    371,590x = 667,771,711,929
  5. Step 5: Solve for x
    x = 667,771,711,929/371,590
  6. Step 6: Final answer
    x = 1,797,065.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.