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Finding the Third Proportional to 392,526 and 589,275

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Solution

The third proportional to 392,526 and 589,275 is: 884,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,526 : 589,275 = 589,275 : x
  2. Step 2: Convert to fraction form
    392,526/589,275 = 589,275/x
  3. Step 3: Cross multiply
    392,526x = 589,275 × 589,275
  4. Step 4: Simplify right side
    392,526x = 347,245,025,625
  5. Step 5: Solve for x
    x = 347,245,025,625/392,526
  6. Step 6: Final answer
    x = 884,642.10

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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.