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Finding the Third Proportional to 264,402 and 550,692

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Solution

The third proportional to 264,402 and 550,692 is: 1,146,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,402 : 550,692 = 550,692 : x
  2. Step 2: Convert to fraction form
    264,402/550,692 = 550,692/x
  3. Step 3: Cross multiply
    264,402x = 550,692 × 550,692
  4. Step 4: Simplify right side
    264,402x = 303,261,678,864
  5. Step 5: Solve for x
    x = 303,261,678,864/264,402
  6. Step 6: Final answer
    x = 1,146,971.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.