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Finding the Third Proportional to 315,309 and 489,573

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Solution

The third proportional to 315,309 and 489,573 is: 760,148.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,309 : 489,573 = 489,573 : x
  2. Step 2: Convert to fraction form
    315,309/489,573 = 489,573/x
  3. Step 3: Cross multiply
    315,309x = 489,573 × 489,573
  4. Step 4: Simplify right side
    315,309x = 239,681,722,329
  5. Step 5: Solve for x
    x = 239,681,722,329/315,309
  6. Step 6: Final answer
    x = 760,148.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.