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Finding the Third Proportional to 239,469 and 348,673

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Solution

The third proportional to 239,469 and 348,673 is: 507,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,469 : 348,673 = 348,673 : x
  2. Step 2: Convert to fraction form
    239,469/348,673 = 348,673/x
  3. Step 3: Cross multiply
    239,469x = 348,673 × 348,673
  4. Step 4: Simplify right side
    239,469x = 121,572,860,929
  5. Step 5: Solve for x
    x = 121,572,860,929/239,469
  6. Step 6: Final answer
    x = 507,676.82

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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.