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Finding the Third Proportional to 392,047.50 and 850,479

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Solution

The third proportional to 392,047.50 and 850,479 is: 1,844,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,047.50 : 850,479 = 850,479 : x
  2. Step 2: Convert to fraction form
    392,047.50/850,479 = 850,479/x
  3. Step 3: Cross multiply
    392,047.50x = 850,479 × 850,479
  4. Step 4: Simplify right side
    392,047.50x = 723,314,529,441
  5. Step 5: Solve for x
    x = 723,314,529,441/392,047.50
  6. Step 6: Final answer
    x = 1,844,966.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.