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Finding the Third Proportional to 268,922 and 573,172

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Solution

The third proportional to 268,922 and 573,172 is: 1,221,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,922 : 573,172 = 573,172 : x
  2. Step 2: Convert to fraction form
    268,922/573,172 = 573,172/x
  3. Step 3: Cross multiply
    268,922x = 573,172 × 573,172
  4. Step 4: Simplify right side
    268,922x = 328,526,141,584
  5. Step 5: Solve for x
    x = 328,526,141,584/268,922
  6. Step 6: Final answer
    x = 1,221,641.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.