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Finding the Third Proportional to 328,932 and 492,057

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Solution

The third proportional to 328,932 and 492,057 is: 736,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,932 : 492,057 = 492,057 : x
  2. Step 2: Convert to fraction form
    328,932/492,057 = 492,057/x
  3. Step 3: Cross multiply
    328,932x = 492,057 × 492,057
  4. Step 4: Simplify right side
    328,932x = 242,120,091,249
  5. Step 5: Solve for x
    x = 242,120,091,249/328,932
  6. Step 6: Final answer
    x = 736,079.47

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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.