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Finding the Third Proportional to 329,006 and 720,848

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Solution

The third proportional to 329,006 and 720,848 is: 1,579,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,006 : 720,848 = 720,848 : x
  2. Step 2: Convert to fraction form
    329,006/720,848 = 720,848/x
  3. Step 3: Cross multiply
    329,006x = 720,848 × 720,848
  4. Step 4: Simplify right side
    329,006x = 519,621,839,104
  5. Step 5: Solve for x
    x = 519,621,839,104/329,006
  6. Step 6: Final answer
    x = 1,579,368.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.