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Finding the Third Proportional to 356,709 and 489,136.50

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Solution

The third proportional to 356,709 and 489,136.50 is: 670,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,709 : 489,136.50 = 489,136.50 : x
  2. Step 2: Convert to fraction form
    356,709/489,136.50 = 489,136.50/x
  3. Step 3: Cross multiply
    356,709x = 489,136.50 × 489,136.50
  4. Step 4: Simplify right side
    356,709x = 239,254,515,632.25
  5. Step 5: Solve for x
    x = 239,254,515,632.25/356,709
  6. Step 6: Final answer
    x = 670,727.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.