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Finding the Third Proportional to 264,409 and 397,200

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Solution

The third proportional to 264,409 and 397,200 is: 596,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,409 : 397,200 = 397,200 : x
  2. Step 2: Convert to fraction form
    264,409/397,200 = 397,200/x
  3. Step 3: Cross multiply
    264,409x = 397,200 × 397,200
  4. Step 4: Simplify right side
    264,409x = 157,767,840,000
  5. Step 5: Solve for x
    x = 157,767,840,000/264,409
  6. Step 6: Final answer
    x = 596,681.05

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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.