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Finding the Third Proportional to 324,682 and 745,657

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Solution

The third proportional to 324,682 and 745,657 is: 1,712,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,682 : 745,657 = 745,657 : x
  2. Step 2: Convert to fraction form
    324,682/745,657 = 745,657/x
  3. Step 3: Cross multiply
    324,682x = 745,657 × 745,657
  4. Step 4: Simplify right side
    324,682x = 556,004,361,649
  5. Step 5: Solve for x
    x = 556,004,361,649/324,682
  6. Step 6: Final answer
    x = 1,712,458.23

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.