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Finding the Third Proportional to 348,613 and 739,077

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Solution

The third proportional to 348,613 and 739,077 is: 1,566,880.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,613 : 739,077 = 739,077 : x
  2. Step 2: Convert to fraction form
    348,613/739,077 = 739,077/x
  3. Step 3: Cross multiply
    348,613x = 739,077 × 739,077
  4. Step 4: Simplify right side
    348,613x = 546,234,811,929
  5. Step 5: Solve for x
    x = 546,234,811,929/348,613
  6. Step 6: Final answer
    x = 1,566,880.21

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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.