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Finding the Third Proportional to 266,157 and 583,839

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Solution

The third proportional to 266,157 and 583,839 is: 1,280,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,157 : 583,839 = 583,839 : x
  2. Step 2: Convert to fraction form
    266,157/583,839 = 583,839/x
  3. Step 3: Cross multiply
    266,157x = 583,839 × 583,839
  4. Step 4: Simplify right side
    266,157x = 340,867,977,921
  5. Step 5: Solve for x
    x = 340,867,977,921/266,157
  6. Step 6: Final answer
    x = 1,280,702.66

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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.