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Finding the Third Proportional to 289,368 and 433,760

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Solution

The third proportional to 289,368 and 433,760 is: 650,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,368 : 433,760 = 433,760 : x
  2. Step 2: Convert to fraction form
    289,368/433,760 = 433,760/x
  3. Step 3: Cross multiply
    289,368x = 433,760 × 433,760
  4. Step 4: Simplify right side
    289,368x = 188,147,737,600
  5. Step 5: Solve for x
    x = 188,147,737,600/289,368
  6. Step 6: Final answer
    x = 650,202.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.