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Finding the Third Proportional to 266,021 and 583,777

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Solution

The third proportional to 266,021 and 583,777 is: 1,281,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,021 : 583,777 = 583,777 : x
  2. Step 2: Convert to fraction form
    266,021/583,777 = 583,777/x
  3. Step 3: Cross multiply
    266,021x = 583,777 × 583,777
  4. Step 4: Simplify right side
    266,021x = 340,795,585,729
  5. Step 5: Solve for x
    x = 340,795,585,729/266,021
  6. Step 6: Final answer
    x = 1,281,085.27

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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.