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Finding the Third Proportional to 293,544 and 466,506

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Solution

The third proportional to 293,544 and 466,506 is: 741,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,544 : 466,506 = 466,506 : x
  2. Step 2: Convert to fraction form
    293,544/466,506 = 466,506/x
  3. Step 3: Cross multiply
    293,544x = 466,506 × 466,506
  4. Step 4: Simplify right side
    293,544x = 217,627,848,036
  5. Step 5: Solve for x
    x = 217,627,848,036/293,544
  6. Step 6: Final answer
    x = 741,380.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.