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Finding the Third Proportional to 239,441 and 348,631

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Solution

The third proportional to 239,441 and 348,631 is: 507,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,441 : 348,631 = 348,631 : x
  2. Step 2: Convert to fraction form
    239,441/348,631 = 348,631/x
  3. Step 3: Cross multiply
    239,441x = 348,631 × 348,631
  4. Step 4: Simplify right side
    239,441x = 121,543,574,161
  5. Step 5: Solve for x
    x = 121,543,574,161/239,441
  6. Step 6: Final answer
    x = 507,613.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.