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Finding the Third Proportional to 266,760 and 583,088

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Solution

The third proportional to 266,760 and 583,088 is: 1,274,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,760 : 583,088 = 583,088 : x
  2. Step 2: Convert to fraction form
    266,760/583,088 = 583,088/x
  3. Step 3: Cross multiply
    266,760x = 583,088 × 583,088
  4. Step 4: Simplify right side
    266,760x = 339,991,615,744
  5. Step 5: Solve for x
    x = 339,991,615,744/266,760
  6. Step 6: Final answer
    x = 1,274,522.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.