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Finding the Third Proportional to 197,483.06 and 418,496.63

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Solution

The third proportional to 197,483.06 and 418,496.63 is: 886,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,483.06 : 418,496.63 = 418,496.63 : x
  2. Step 2: Convert to fraction form
    197,483.06/418,496.63 = 418,496.63/x
  3. Step 3: Cross multiply
    197,483.06x = 418,496.63 × 418,496.63
  4. Step 4: Simplify right side
    197,483.06x = 175,139,425,136.39
  5. Step 5: Solve for x
    x = 175,139,425,136.39/197,483.06
  6. Step 6: Final answer
    x = 886,857.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.