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Finding the Third Proportional to 328,030.50 and 490,338

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Solution

The third proportional to 328,030.50 and 490,338 is: 732,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,030.50 : 490,338 = 490,338 : x
  2. Step 2: Convert to fraction form
    328,030.50/490,338 = 490,338/x
  3. Step 3: Cross multiply
    328,030.50x = 490,338 × 490,338
  4. Step 4: Simplify right side
    328,030.50x = 240,431,354,244
  5. Step 5: Solve for x
    x = 240,431,354,244/328,030.50
  6. Step 6: Final answer
    x = 732,954.27

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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.