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Finding the Third Proportional to 270,746 and 594,004

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Solution

The third proportional to 270,746 and 594,004 is: 1,303,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,746 : 594,004 = 594,004 : x
  2. Step 2: Convert to fraction form
    270,746/594,004 = 594,004/x
  3. Step 3: Cross multiply
    270,746x = 594,004 × 594,004
  4. Step 4: Simplify right side
    270,746x = 352,840,752,016
  5. Step 5: Solve for x
    x = 352,840,752,016/270,746
  6. Step 6: Final answer
    x = 1,303,216.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.