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Finding the Third Proportional to 330,945.75 and 714,369.38

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Solution

The third proportional to 330,945.75 and 714,369.38 is: 1,542,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,945.75 : 714,369.38 = 714,369.38 : x
  2. Step 2: Convert to fraction form
    330,945.75/714,369.38 = 714,369.38/x
  3. Step 3: Cross multiply
    330,945.75x = 714,369.38 × 714,369.38
  4. Step 4: Simplify right side
    330,945.75x = 510,323,603,937.89
  5. Step 5: Solve for x
    x = 510,323,603,937.89/330,945.75
  6. Step 6: Final answer
    x = 1,542,015.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.