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Finding the Third Proportional to 328,870.13 and 494,284.78

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Solution

The third proportional to 328,870.13 and 494,284.78 is: 742,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,870.13 : 494,284.78 = 494,284.78 : x
  2. Step 2: Convert to fraction form
    328,870.13/494,284.78 = 494,284.78/x
  3. Step 3: Cross multiply
    328,870.13x = 494,284.78 × 494,284.78
  4. Step 4: Simplify right side
    328,870.13x = 244,317,444,975.36
  5. Step 5: Solve for x
    x = 244,317,444,975.36/328,870.13
  6. Step 6: Final answer
    x = 742,899.48

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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.