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Finding the Third Proportional to 329,389 and 719,014

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Solution

The third proportional to 329,389 and 719,014 is: 1,569,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,389 : 719,014 = 719,014 : x
  2. Step 2: Convert to fraction form
    329,389/719,014 = 719,014/x
  3. Step 3: Cross multiply
    329,389x = 719,014 × 719,014
  4. Step 4: Simplify right side
    329,389x = 516,981,132,196
  5. Step 5: Solve for x
    x = 516,981,132,196/329,389
  6. Step 6: Final answer
    x = 1,569,515.47

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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.