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Finding the Third Proportional to 333,221 and 732,848

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Solution

The third proportional to 333,221 and 732,848 is: 1,611,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,221 : 732,848 = 732,848 : x
  2. Step 2: Convert to fraction form
    333,221/732,848 = 732,848/x
  3. Step 3: Cross multiply
    333,221x = 732,848 × 732,848
  4. Step 4: Simplify right side
    333,221x = 537,066,191,104
  5. Step 5: Solve for x
    x = 537,066,191,104/333,221
  6. Step 6: Final answer
    x = 1,611,741.73

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