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Finding the Third Proportional to 299,232 and 447,835.50

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Solution

The third proportional to 299,232 and 447,835.50 is: 670,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,232 : 447,835.50 = 447,835.50 : x
  2. Step 2: Convert to fraction form
    299,232/447,835.50 = 447,835.50/x
  3. Step 3: Cross multiply
    299,232x = 447,835.50 × 447,835.50
  4. Step 4: Simplify right side
    299,232x = 200,556,635,060.25
  5. Step 5: Solve for x
    x = 200,556,635,060.25/299,232
  6. Step 6: Final answer
    x = 670,237.93

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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.