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Finding the Third Proportional to 328,035 and 490,344

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Solution

The third proportional to 328,035 and 490,344 is: 732,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,035 : 490,344 = 490,344 : x
  2. Step 2: Convert to fraction form
    328,035/490,344 = 490,344/x
  3. Step 3: Cross multiply
    328,035x = 490,344 × 490,344
  4. Step 4: Simplify right side
    328,035x = 240,437,238,336
  5. Step 5: Solve for x
    x = 240,437,238,336/328,035
  6. Step 6: Final answer
    x = 732,962.15

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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.