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Finding the Third Proportional to 266,015 and 583,721

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Solution

The third proportional to 266,015 and 583,721 is: 1,280,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,015 : 583,721 = 583,721 : x
  2. Step 2: Convert to fraction form
    266,015/583,721 = 583,721/x
  3. Step 3: Cross multiply
    266,015x = 583,721 × 583,721
  4. Step 4: Simplify right side
    266,015x = 340,730,205,841
  5. Step 5: Solve for x
    x = 340,730,205,841/266,015
  6. Step 6: Final answer
    x = 1,280,868.39

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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.