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Finding the Third Proportional to 421,648.50 and 926,241

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Solution

The third proportional to 421,648.50 and 926,241 is: 2,034,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,648.50 : 926,241 = 926,241 : x
  2. Step 2: Convert to fraction form
    421,648.50/926,241 = 926,241/x
  3. Step 3: Cross multiply
    421,648.50x = 926,241 × 926,241
  4. Step 4: Simplify right side
    421,648.50x = 857,922,390,081
  5. Step 5: Solve for x
    x = 857,922,390,081/421,648.50
  6. Step 6: Final answer
    x = 2,034,686.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.