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Finding the Third Proportional to 210,084 and 449,700

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Solution

The third proportional to 210,084 and 449,700 is: 962,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,084 : 449,700 = 449,700 : x
  2. Step 2: Convert to fraction form
    210,084/449,700 = 449,700/x
  3. Step 3: Cross multiply
    210,084x = 449,700 × 449,700
  4. Step 4: Simplify right side
    210,084x = 202,230,090,000
  5. Step 5: Solve for x
    x = 202,230,090,000/210,084
  6. Step 6: Final answer
    x = 962,615.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.