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Finding the Third Proportional to 197,446 and 426,414

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Solution

The third proportional to 197,446 and 426,414 is: 920,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,446 : 426,414 = 426,414 : x
  2. Step 2: Convert to fraction form
    197,446/426,414 = 426,414/x
  3. Step 3: Cross multiply
    197,446x = 426,414 × 426,414
  4. Step 4: Simplify right side
    197,446x = 181,828,899,396
  5. Step 5: Solve for x
    x = 181,828,899,396/197,446
  6. Step 6: Final answer
    x = 920,904.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.