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Finding the Third Proportional to 329,385 and 719,008

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Solution

The third proportional to 329,385 and 719,008 is: 1,569,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,385 : 719,008 = 719,008 : x
  2. Step 2: Convert to fraction form
    329,385/719,008 = 719,008/x
  3. Step 3: Cross multiply
    329,385x = 719,008 × 719,008
  4. Step 4: Simplify right side
    329,385x = 516,972,504,064
  5. Step 5: Solve for x
    x = 516,972,504,064/329,385
  6. Step 6: Final answer
    x = 1,569,508.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.