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Finding the Third Proportional to 267,011 and 583,258

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Solution

The third proportional to 267,011 and 583,258 is: 1,274,066.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,011 : 583,258 = 583,258 : x
  2. Step 2: Convert to fraction form
    267,011/583,258 = 583,258/x
  3. Step 3: Cross multiply
    267,011x = 583,258 × 583,258
  4. Step 4: Simplify right side
    267,011x = 340,189,894,564
  5. Step 5: Solve for x
    x = 340,189,894,564/267,011
  6. Step 6: Final answer
    x = 1,274,066.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.