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Finding the Third Proportional to 268,914 and 573,156

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Solution

The third proportional to 268,914 and 573,156 is: 1,221,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,914 : 573,156 = 573,156 : x
  2. Step 2: Convert to fraction form
    268,914/573,156 = 573,156/x
  3. Step 3: Cross multiply
    268,914x = 573,156 × 573,156
  4. Step 4: Simplify right side
    268,914x = 328,507,800,336
  5. Step 5: Solve for x
    x = 328,507,800,336/268,914
  6. Step 6: Final answer
    x = 1,221,609.14

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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.