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Finding the Third Proportional to 233,417 and 330,307

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Solution

The third proportional to 233,417 and 330,307 is: 467,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,417 : 330,307 = 330,307 : x
  2. Step 2: Convert to fraction form
    233,417/330,307 = 330,307/x
  3. Step 3: Cross multiply
    233,417x = 330,307 × 330,307
  4. Step 4: Simplify right side
    233,417x = 109,102,714,249
  5. Step 5: Solve for x
    x = 109,102,714,249/233,417
  6. Step 6: Final answer
    x = 467,415.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.