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Finding the Third Proportional to 267,789 and 555,261

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Solution

The third proportional to 267,789 and 555,261 is: 1,151,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,789 : 555,261 = 555,261 : x
  2. Step 2: Convert to fraction form
    267,789/555,261 = 555,261/x
  3. Step 3: Cross multiply
    267,789x = 555,261 × 555,261
  4. Step 4: Simplify right side
    267,789x = 308,314,778,121
  5. Step 5: Solve for x
    x = 308,314,778,121/267,789
  6. Step 6: Final answer
    x = 1,151,334.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.