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Finding the Third Proportional to 262,728 and 569,088

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Solution

The third proportional to 262,728 and 569,088 is: 1,232,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,728 : 569,088 = 569,088 : x
  2. Step 2: Convert to fraction form
    262,728/569,088 = 569,088/x
  3. Step 3: Cross multiply
    262,728x = 569,088 × 569,088
  4. Step 4: Simplify right side
    262,728x = 323,861,151,744
  5. Step 5: Solve for x
    x = 323,861,151,744/262,728
  6. Step 6: Final answer
    x = 1,232,686.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.