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Finding the Third Proportional to 326,592 and 489,888

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Solution

The third proportional to 326,592 and 489,888 is: 734,832

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,592 : 489,888 = 489,888 : x
  2. Step 2: Convert to fraction form
    326,592/489,888 = 489,888/x
  3. Step 3: Cross multiply
    326,592x = 489,888 × 489,888
  4. Step 4: Simplify right side
    326,592x = 239,990,252,544
  5. Step 5: Solve for x
    x = 239,990,252,544/326,592
  6. Step 6: Final answer
    x = 734,832

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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.