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Finding the Third Proportional to 266,013 and 583,717

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Solution

The third proportional to 266,013 and 583,717 is: 1,280,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,013 : 583,717 = 583,717 : x
  2. Step 2: Convert to fraction form
    266,013/583,717 = 583,717/x
  3. Step 3: Cross multiply
    266,013x = 583,717 × 583,717
  4. Step 4: Simplify right side
    266,013x = 340,725,536,089
  5. Step 5: Solve for x
    x = 340,725,536,089/266,013
  6. Step 6: Final answer
    x = 1,280,860.47

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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.