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Finding the Third Proportional to 344,536 and 738,884

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Solution

The third proportional to 344,536 and 738,884 is: 1,584,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,536 : 738,884 = 738,884 : x
  2. Step 2: Convert to fraction form
    344,536/738,884 = 738,884/x
  3. Step 3: Cross multiply
    344,536x = 738,884 × 738,884
  4. Step 4: Simplify right side
    344,536x = 545,949,565,456
  5. Step 5: Solve for x
    x = 545,949,565,456/344,536
  6. Step 6: Final answer
    x = 1,584,593.67

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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.