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Finding the Third Proportional to 329,419 and 719,071

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Solution

The third proportional to 329,419 and 719,071 is: 1,569,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,419 : 719,071 = 719,071 : x
  2. Step 2: Convert to fraction form
    329,419/719,071 = 719,071/x
  3. Step 3: Cross multiply
    329,419x = 719,071 × 719,071
  4. Step 4: Simplify right side
    329,419x = 517,063,103,041
  5. Step 5: Solve for x
    x = 517,063,103,041/329,419
  6. Step 6: Final answer
    x = 1,569,621.37

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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.