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Finding the Third Proportional to 268,088 and 577,366

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Solution

The third proportional to 268,088 and 577,366 is: 1,243,440.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,088 : 577,366 = 577,366 : x
  2. Step 2: Convert to fraction form
    268,088/577,366 = 577,366/x
  3. Step 3: Cross multiply
    268,088x = 577,366 × 577,366
  4. Step 4: Simplify right side
    268,088x = 333,351,497,956
  5. Step 5: Solve for x
    x = 333,351,497,956/268,088
  6. Step 6: Final answer
    x = 1,243,440.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.