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Finding the Third Proportional to 197,442 and 426,406

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Solution

The third proportional to 197,442 and 426,406 is: 920,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,442 : 426,406 = 426,406 : x
  2. Step 2: Convert to fraction form
    197,442/426,406 = 426,406/x
  3. Step 3: Cross multiply
    197,442x = 426,406 × 426,406
  4. Step 4: Simplify right side
    197,442x = 181,822,076,836
  5. Step 5: Solve for x
    x = 181,822,076,836/197,442
  6. Step 6: Final answer
    x = 920,888.55

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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.