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Finding the Third Proportional to 266,701 and 583,194

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Solution

The third proportional to 266,701 and 583,194 is: 1,275,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,701 : 583,194 = 583,194 : x
  2. Step 2: Convert to fraction form
    266,701/583,194 = 583,194/x
  3. Step 3: Cross multiply
    266,701x = 583,194 × 583,194
  4. Step 4: Simplify right side
    266,701x = 340,115,241,636
  5. Step 5: Solve for x
    x = 340,115,241,636/266,701
  6. Step 6: Final answer
    x = 1,275,267.97

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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.