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Finding the Third Proportional to 414,562.50 and 621,722.25

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Solution

The third proportional to 414,562.50 and 621,722.25 is: 932,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,562.50 : 621,722.25 = 621,722.25 : x
  2. Step 2: Convert to fraction form
    414,562.50/621,722.25 = 621,722.25/x
  3. Step 3: Cross multiply
    414,562.50x = 621,722.25 × 621,722.25
  4. Step 4: Simplify right side
    414,562.50x = 386,538,556,145.06
  5. Step 5: Solve for x
    x = 386,538,556,145.06/414,562.50
  6. Step 6: Final answer
    x = 932,401.16

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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.