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Finding the Third Proportional to 197,535 and 434,454

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Solution

The third proportional to 197,535 and 434,454 is: 955,528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,535 : 434,454 = 434,454 : x
  2. Step 2: Convert to fraction form
    197,535/434,454 = 434,454/x
  3. Step 3: Cross multiply
    197,535x = 434,454 × 434,454
  4. Step 4: Simplify right side
    197,535x = 188,750,278,116
  5. Step 5: Solve for x
    x = 188,750,278,116/197,535
  6. Step 6: Final answer
    x = 955,528.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.