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Finding the Third Proportional to 264,050 and 397,344

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Solution

The third proportional to 264,050 and 397,344 is: 597,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,050 : 397,344 = 397,344 : x
  2. Step 2: Convert to fraction form
    264,050/397,344 = 397,344/x
  3. Step 3: Cross multiply
    264,050x = 397,344 × 397,344
  4. Step 4: Simplify right side
    264,050x = 157,882,254,336
  5. Step 5: Solve for x
    x = 157,882,254,336/264,050
  6. Step 6: Final answer
    x = 597,925.60

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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.