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Finding the Third Proportional to 197,842 and 466,726

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Solution

The third proportional to 197,842 and 466,726 is: 1,101,046.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,842 : 466,726 = 466,726 : x
  2. Step 2: Convert to fraction form
    197,842/466,726 = 466,726/x
  3. Step 3: Cross multiply
    197,842x = 466,726 × 466,726
  4. Step 4: Simplify right side
    197,842x = 217,833,159,076
  5. Step 5: Solve for x
    x = 217,833,159,076/197,842
  6. Step 6: Final answer
    x = 1,101,046.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.