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Finding the Third Proportional to 346,166 and 523,858

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Solution

The third proportional to 346,166 and 523,858 is: 792,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,166 : 523,858 = 523,858 : x
  2. Step 2: Convert to fraction form
    346,166/523,858 = 523,858/x
  3. Step 3: Cross multiply
    346,166x = 523,858 × 523,858
  4. Step 4: Simplify right side
    346,166x = 274,427,204,164
  5. Step 5: Solve for x
    x = 274,427,204,164/346,166
  6. Step 6: Final answer
    x = 792,761.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.