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Finding the Third Proportional to 197,816 and 428,464

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Solution

The third proportional to 197,816 and 428,464 is: 928,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,816 : 428,464 = 428,464 : x
  2. Step 2: Convert to fraction form
    197,816/428,464 = 428,464/x
  3. Step 3: Cross multiply
    197,816x = 428,464 × 428,464
  4. Step 4: Simplify right side
    197,816x = 183,581,399,296
  5. Step 5: Solve for x
    x = 183,581,399,296/197,816
  6. Step 6: Final answer
    x = 928,041.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.