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Finding the Third Proportional to 293,376 and 642,852

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Solution

The third proportional to 293,376 and 642,852 is: 1,408,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,376 : 642,852 = 642,852 : x
  2. Step 2: Convert to fraction form
    293,376/642,852 = 642,852/x
  3. Step 3: Cross multiply
    293,376x = 642,852 × 642,852
  4. Step 4: Simplify right side
    293,376x = 413,258,693,904
  5. Step 5: Solve for x
    x = 413,258,693,904/293,376
  6. Step 6: Final answer
    x = 1,408,631.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.