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Finding the Third Proportional to 264,324 and 397,072

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Solution

The third proportional to 264,324 and 397,072 is: 596,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,324 : 397,072 = 397,072 : x
  2. Step 2: Convert to fraction form
    264,324/397,072 = 397,072/x
  3. Step 3: Cross multiply
    264,324x = 397,072 × 397,072
  4. Step 4: Simplify right side
    264,324x = 157,666,173,184
  5. Step 5: Solve for x
    x = 157,666,173,184/264,324
  6. Step 6: Final answer
    x = 596,488.30

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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.