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Finding the Third Proportional to 398,470 and 599,208

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Solution

The third proportional to 398,470 and 599,208 is: 901,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,470 : 599,208 = 599,208 : x
  2. Step 2: Convert to fraction form
    398,470/599,208 = 599,208/x
  3. Step 3: Cross multiply
    398,470x = 599,208 × 599,208
  4. Step 4: Simplify right side
    398,470x = 359,050,227,264
  5. Step 5: Solve for x
    x = 359,050,227,264/398,470
  6. Step 6: Final answer
    x = 901,072.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.