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Finding the Third Proportional to 329,119 and 708,174

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Solution

The third proportional to 329,119 and 708,174 is: 1,523,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,119 : 708,174 = 708,174 : x
  2. Step 2: Convert to fraction form
    329,119/708,174 = 708,174/x
  3. Step 3: Cross multiply
    329,119x = 708,174 × 708,174
  4. Step 4: Simplify right side
    329,119x = 501,510,414,276
  5. Step 5: Solve for x
    x = 501,510,414,276/329,119
  6. Step 6: Final answer
    x = 1,523,796.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.