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Finding the Third Proportional to 293,274 and 642,602

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Solution

The third proportional to 293,274 and 642,602 is: 1,408,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,274 : 642,602 = 642,602 : x
  2. Step 2: Convert to fraction form
    293,274/642,602 = 642,602/x
  3. Step 3: Cross multiply
    293,274x = 642,602 × 642,602
  4. Step 4: Simplify right side
    293,274x = 412,937,330,404
  5. Step 5: Solve for x
    x = 412,937,330,404/293,274
  6. Step 6: Final answer
    x = 1,408,025.70

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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.