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Finding the Third Proportional to 233,963 and 349,383

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Solution

The third proportional to 233,963 and 349,383 is: 521,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,963 : 349,383 = 349,383 : x
  2. Step 2: Convert to fraction form
    233,963/349,383 = 349,383/x
  3. Step 3: Cross multiply
    233,963x = 349,383 × 349,383
  4. Step 4: Simplify right side
    233,963x = 122,068,480,689
  5. Step 5: Solve for x
    x = 122,068,480,689/233,963
  6. Step 6: Final answer
    x = 521,742.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.