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Finding the Third Proportional to 348,616 and 739,089

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Solution

The third proportional to 348,616 and 739,089 is: 1,566,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,616 : 739,089 = 739,089 : x
  2. Step 2: Convert to fraction form
    348,616/739,089 = 739,089/x
  3. Step 3: Cross multiply
    348,616x = 739,089 × 739,089
  4. Step 4: Simplify right side
    348,616x = 546,252,549,921
  5. Step 5: Solve for x
    x = 546,252,549,921/348,616
  6. Step 6: Final answer
    x = 1,566,917.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.