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Finding the Third Proportional to 303,971 and 456,119

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Solution

The third proportional to 303,971 and 456,119 is: 684,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,971 : 456,119 = 456,119 : x
  2. Step 2: Convert to fraction form
    303,971/456,119 = 456,119/x
  3. Step 3: Cross multiply
    303,971x = 456,119 × 456,119
  4. Step 4: Simplify right side
    303,971x = 208,044,542,161
  5. Step 5: Solve for x
    x = 208,044,542,161/303,971
  6. Step 6: Final answer
    x = 684,422.34

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Why These Related Problems?

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