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Finding the Third Proportional to 264,070 and 397,372

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Solution

The third proportional to 264,070 and 397,372 is: 597,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,070 : 397,372 = 397,372 : x
  2. Step 2: Convert to fraction form
    264,070/397,372 = 397,372/x
  3. Step 3: Cross multiply
    264,070x = 397,372 × 397,372
  4. Step 4: Simplify right side
    264,070x = 157,904,506,384
  5. Step 5: Solve for x
    x = 157,904,506,384/264,070
  6. Step 6: Final answer
    x = 597,964.58

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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.