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Finding the Third Proportional to 267,106 and 576,346

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Solution

The third proportional to 267,106 and 576,346 is: 1,243,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,106 : 576,346 = 576,346 : x
  2. Step 2: Convert to fraction form
    267,106/576,346 = 576,346/x
  3. Step 3: Cross multiply
    267,106x = 576,346 × 576,346
  4. Step 4: Simplify right side
    267,106x = 332,174,711,716
  5. Step 5: Solve for x
    x = 332,174,711,716/267,106
  6. Step 6: Final answer
    x = 1,243,606.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.