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Finding the Third Proportional to 328,934 and 492,072

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Solution

The third proportional to 328,934 and 492,072 is: 736,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,934 : 492,072 = 492,072 : x
  2. Step 2: Convert to fraction form
    328,934/492,072 = 492,072/x
  3. Step 3: Cross multiply
    328,934x = 492,072 × 492,072
  4. Step 4: Simplify right side
    328,934x = 242,134,853,184
  5. Step 5: Solve for x
    x = 242,134,853,184/328,934
  6. Step 6: Final answer
    x = 736,119.87

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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.