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Finding the Third Proportional to 197,495 and 424,962

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Solution

The third proportional to 197,495 and 424,962 is: 914,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,495 : 424,962 = 424,962 : x
  2. Step 2: Convert to fraction form
    197,495/424,962 = 424,962/x
  3. Step 3: Cross multiply
    197,495x = 424,962 × 424,962
  4. Step 4: Simplify right side
    197,495x = 180,592,701,444
  5. Step 5: Solve for x
    x = 180,592,701,444/197,495
  6. Step 6: Final answer
    x = 914,416.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.