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Finding the Third Proportional to 266,150 and 583,826

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Solution

The third proportional to 266,150 and 583,826 is: 1,280,679.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,150 : 583,826 = 583,826 : x
  2. Step 2: Convert to fraction form
    266,150/583,826 = 583,826/x
  3. Step 3: Cross multiply
    266,150x = 583,826 × 583,826
  4. Step 4: Simplify right side
    266,150x = 340,852,798,276
  5. Step 5: Solve for x
    x = 340,852,798,276/266,150
  6. Step 6: Final answer
    x = 1,280,679.31

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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.