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Finding the Third Proportional to 288,768 and 433,152

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Solution

The third proportional to 288,768 and 433,152 is: 649,728

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,768 : 433,152 = 433,152 : x
  2. Step 2: Convert to fraction form
    288,768/433,152 = 433,152/x
  3. Step 3: Cross multiply
    288,768x = 433,152 × 433,152
  4. Step 4: Simplify right side
    288,768x = 187,620,655,104
  5. Step 5: Solve for x
    x = 187,620,655,104/288,768
  6. Step 6: Final answer
    x = 649,728

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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.