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Finding the Third Proportional to 301,117 and 454,226

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Solution

The third proportional to 301,117 and 454,226 is: 685,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,117 : 454,226 = 454,226 : x
  2. Step 2: Convert to fraction form
    301,117/454,226 = 454,226/x
  3. Step 3: Cross multiply
    301,117x = 454,226 × 454,226
  4. Step 4: Simplify right side
    301,117x = 206,321,259,076
  5. Step 5: Solve for x
    x = 206,321,259,076/301,117
  6. Step 6: Final answer
    x = 685,186.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.