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Finding the Third Proportional to 379,975.50 and 592,968.38

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Solution

The third proportional to 379,975.50 and 592,968.38 is: 925,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,975.50 : 592,968.38 = 592,968.38 : x
  2. Step 2: Convert to fraction form
    379,975.50/592,968.38 = 592,968.38/x
  3. Step 3: Cross multiply
    379,975.50x = 592,968.38 × 592,968.38
  4. Step 4: Simplify right side
    379,975.50x = 351,611,493,750.14
  5. Step 5: Solve for x
    x = 351,611,493,750.14/379,975.50
  6. Step 6: Final answer
    x = 925,353.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.