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Finding the Third Proportional to 379,953 and 592,933.50

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Solution

The third proportional to 379,953 and 592,933.50 is: 925,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,953 : 592,933.50 = 592,933.50 : x
  2. Step 2: Convert to fraction form
    379,953/592,933.50 = 592,933.50/x
  3. Step 3: Cross multiply
    379,953x = 592,933.50 × 592,933.50
  4. Step 4: Simplify right side
    379,953x = 351,570,135,422.25
  5. Step 5: Solve for x
    x = 351,570,135,422.25/379,953
  6. Step 6: Final answer
    x = 925,299.01

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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.