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Finding the Third Proportional to 266,028 and 583,794

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Solution

The third proportional to 266,028 and 583,794 is: 1,281,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,028 : 583,794 = 583,794 : x
  2. Step 2: Convert to fraction form
    266,028/583,794 = 583,794/x
  3. Step 3: Cross multiply
    266,028x = 583,794 × 583,794
  4. Step 4: Simplify right side
    266,028x = 340,815,434,436
  5. Step 5: Solve for x
    x = 340,815,434,436/266,028
  6. Step 6: Final answer
    x = 1,281,126.18

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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.