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Finding the Third Proportional to 288,872 and 433,360

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Solution

The third proportional to 288,872 and 433,360 is: 650,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,872 : 433,360 = 433,360 : x
  2. Step 2: Convert to fraction form
    288,872/433,360 = 433,360/x
  3. Step 3: Cross multiply
    288,872x = 433,360 × 433,360
  4. Step 4: Simplify right side
    288,872x = 187,800,889,600
  5. Step 5: Solve for x
    x = 187,800,889,600/288,872
  6. Step 6: Final answer
    x = 650,118.01

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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.