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Finding the Third Proportional to 329,400 and 719,037

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Solution

The third proportional to 329,400 and 719,037 is: 1,569,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,400 : 719,037 = 719,037 : x
  2. Step 2: Convert to fraction form
    329,400/719,037 = 719,037/x
  3. Step 3: Cross multiply
    329,400x = 719,037 × 719,037
  4. Step 4: Simplify right side
    329,400x = 517,014,207,369
  5. Step 5: Solve for x
    x = 517,014,207,369/329,400
  6. Step 6: Final answer
    x = 1,569,563.47

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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.