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Finding the Third Proportional to 324,603 and 708,941.25

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Solution

The third proportional to 324,603 and 708,941.25 is: 1,548,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,603 : 708,941.25 = 708,941.25 : x
  2. Step 2: Convert to fraction form
    324,603/708,941.25 = 708,941.25/x
  3. Step 3: Cross multiply
    324,603x = 708,941.25 × 708,941.25
  4. Step 4: Simplify right side
    324,603x = 502,597,695,951.56
  5. Step 5: Solve for x
    x = 502,597,695,951.56/324,603
  6. Step 6: Final answer
    x = 1,548,345.81

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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.