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Finding the Third Proportional to 326,668 and 490,004

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Solution

The third proportional to 326,668 and 490,004 is: 735,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,668 : 490,004 = 490,004 : x
  2. Step 2: Convert to fraction form
    326,668/490,004 = 490,004/x
  3. Step 3: Cross multiply
    326,668x = 490,004 × 490,004
  4. Step 4: Simplify right side
    326,668x = 240,103,920,016
  5. Step 5: Solve for x
    x = 240,103,920,016/326,668
  6. Step 6: Final answer
    x = 735,009.00

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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.