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Finding the Third Proportional to 348,684 and 736,536

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Solution

The third proportional to 348,684 and 736,536 is: 1,555,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,684 : 736,536 = 736,536 : x
  2. Step 2: Convert to fraction form
    348,684/736,536 = 736,536/x
  3. Step 3: Cross multiply
    348,684x = 736,536 × 736,536
  4. Step 4: Simplify right side
    348,684x = 542,485,279,296
  5. Step 5: Solve for x
    x = 542,485,279,296/348,684
  6. Step 6: Final answer
    x = 1,555,807.78

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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.