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Finding the Third Proportional to 324,504 and 708,768

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Solution

The third proportional to 324,504 and 708,768 is: 1,548,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,504 : 708,768 = 708,768 : x
  2. Step 2: Convert to fraction form
    324,504/708,768 = 708,768/x
  3. Step 3: Cross multiply
    324,504x = 708,768 × 708,768
  4. Step 4: Simplify right side
    324,504x = 502,352,077,824
  5. Step 5: Solve for x
    x = 502,352,077,824/324,504
  6. Step 6: Final answer
    x = 1,548,061.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.