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Finding the Third Proportional to 268,728 and 586,576

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Solution

The third proportional to 268,728 and 586,576 is: 1,280,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,728 : 586,576 = 586,576 : x
  2. Step 2: Convert to fraction form
    268,728/586,576 = 586,576/x
  3. Step 3: Cross multiply
    268,728x = 586,576 × 586,576
  4. Step 4: Simplify right side
    268,728x = 344,071,403,776
  5. Step 5: Solve for x
    x = 344,071,403,776/268,728
  6. Step 6: Final answer
    x = 1,280,370.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.