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Finding the Third Proportional to 408,512 and 599,030

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Solution

The third proportional to 408,512 and 599,030 is: 878,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,512 : 599,030 = 599,030 : x
  2. Step 2: Convert to fraction form
    408,512/599,030 = 599,030/x
  3. Step 3: Cross multiply
    408,512x = 599,030 × 599,030
  4. Step 4: Simplify right side
    408,512x = 358,836,940,900
  5. Step 5: Solve for x
    x = 358,836,940,900/408,512
  6. Step 6: Final answer
    x = 878,400.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.