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Finding the Third Proportional to 554,581 and 856,327

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Solution

The third proportional to 554,581 and 856,327 is: 1,322,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,581 : 856,327 = 856,327 : x
  2. Step 2: Convert to fraction form
    554,581/856,327 = 856,327/x
  3. Step 3: Cross multiply
    554,581x = 856,327 × 856,327
  4. Step 4: Simplify right side
    554,581x = 733,295,930,929
  5. Step 5: Solve for x
    x = 733,295,930,929/554,581
  6. Step 6: Final answer
    x = 1,322,252.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.