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Finding the Third Proportional to 328,038 and 490,345

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Solution

The third proportional to 328,038 and 490,345 is: 732,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,038 : 490,345 = 490,345 : x
  2. Step 2: Convert to fraction form
    328,038/490,345 = 490,345/x
  3. Step 3: Cross multiply
    328,038x = 490,345 × 490,345
  4. Step 4: Simplify right side
    328,038x = 240,438,219,025
  5. Step 5: Solve for x
    x = 240,438,219,025/328,038
  6. Step 6: Final answer
    x = 732,958.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.