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Finding the Third Proportional to 210,084 and 449,696

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Solution

The third proportional to 210,084 and 449,696 is: 962,598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,084 : 449,696 = 449,696 : x
  2. Step 2: Convert to fraction form
    210,084/449,696 = 449,696/x
  3. Step 3: Cross multiply
    210,084x = 449,696 × 449,696
  4. Step 4: Simplify right side
    210,084x = 202,226,492,416
  5. Step 5: Solve for x
    x = 202,226,492,416/210,084
  6. Step 6: Final answer
    x = 962,598.26

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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.