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Finding the Third Proportional to 348,626 and 736,420

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Solution

The third proportional to 348,626 and 736,420 is: 1,555,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,626 : 736,420 = 736,420 : x
  2. Step 2: Convert to fraction form
    348,626/736,420 = 736,420/x
  3. Step 3: Cross multiply
    348,626x = 736,420 × 736,420
  4. Step 4: Simplify right side
    348,626x = 542,314,416,400
  5. Step 5: Solve for x
    x = 542,314,416,400/348,626
  6. Step 6: Final answer
    x = 1,555,576.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.