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Finding the Third Proportional to 378,299.74 and 562,090.32

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Solution

The third proportional to 378,299.74 and 562,090.32 is: 835,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,299.74 : 562,090.32 = 562,090.32 : x
  2. Step 2: Convert to fraction form
    378,299.74/562,090.32 = 562,090.32/x
  3. Step 3: Cross multiply
    378,299.74x = 562,090.32 × 562,090.32
  4. Step 4: Simplify right side
    378,299.74x = 315,945,532,580.34
  5. Step 5: Solve for x
    x = 315,945,532,580.34/378,299.74
  6. Step 6: Final answer
    x = 835,172.48

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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.