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Finding the Third Proportional to 197,598 and 432,672

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Solution

The third proportional to 197,598 and 432,672 is: 947,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,598 : 432,672 = 432,672 : x
  2. Step 2: Convert to fraction form
    197,598/432,672 = 432,672/x
  3. Step 3: Cross multiply
    197,598x = 432,672 × 432,672
  4. Step 4: Simplify right side
    197,598x = 187,205,059,584
  5. Step 5: Solve for x
    x = 187,205,059,584/197,598
  6. Step 6: Final answer
    x = 947,403.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.