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Finding the Third Proportional to 210,474 and 320,964

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Solution

The third proportional to 210,474 and 320,964 is: 489,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,474 : 320,964 = 320,964 : x
  2. Step 2: Convert to fraction form
    210,474/320,964 = 320,964/x
  3. Step 3: Cross multiply
    210,474x = 320,964 × 320,964
  4. Step 4: Simplify right side
    210,474x = 103,017,889,296
  5. Step 5: Solve for x
    x = 103,017,889,296/210,474
  6. Step 6: Final answer
    x = 489,456.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.