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Finding the Third Proportional to 197,411 and 433,230

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Solution

The third proportional to 197,411 and 433,230 is: 950,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,411 : 433,230 = 433,230 : x
  2. Step 2: Convert to fraction form
    197,411/433,230 = 433,230/x
  3. Step 3: Cross multiply
    197,411x = 433,230 × 433,230
  4. Step 4: Simplify right side
    197,411x = 187,688,232,900
  5. Step 5: Solve for x
    x = 187,688,232,900/197,411
  6. Step 6: Final answer
    x = 950,748.61

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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.