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Finding the Third Proportional to 367,848 and 788,172

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Solution

The third proportional to 367,848 and 788,172 is: 1,688,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,848 : 788,172 = 788,172 : x
  2. Step 2: Convert to fraction form
    367,848/788,172 = 788,172/x
  3. Step 3: Cross multiply
    367,848x = 788,172 × 788,172
  4. Step 4: Simplify right side
    367,848x = 621,215,101,584
  5. Step 5: Solve for x
    x = 621,215,101,584/367,848
  6. Step 6: Final answer
    x = 1,688,782.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.