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Finding the Third Proportional to 414,004.50 and 585,805.50

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Solution

The third proportional to 414,004.50 and 585,805.50 is: 828,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,004.50 : 585,805.50 = 585,805.50 : x
  2. Step 2: Convert to fraction form
    414,004.50/585,805.50 = 585,805.50/x
  3. Step 3: Cross multiply
    414,004.50x = 585,805.50 × 585,805.50
  4. Step 4: Simplify right side
    414,004.50x = 343,168,083,830.25
  5. Step 5: Solve for x
    x = 343,168,083,830.25/414,004.50
  6. Step 6: Final answer
    x = 828,899.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.