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Finding the Third Proportional to 197,047 and 423,659

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Solution

The third proportional to 197,047 and 423,659 is: 910,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,047 : 423,659 = 423,659 : x
  2. Step 2: Convert to fraction form
    197,047/423,659 = 423,659/x
  3. Step 3: Cross multiply
    197,047x = 423,659 × 423,659
  4. Step 4: Simplify right side
    197,047x = 179,486,948,281
  5. Step 5: Solve for x
    x = 179,486,948,281/197,047
  6. Step 6: Final answer
    x = 910,883.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.