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Finding the Third Proportional to 373,364 and 593,261

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Solution

The third proportional to 373,364 and 593,261 is: 942,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,364 : 593,261 = 593,261 : x
  2. Step 2: Convert to fraction form
    373,364/593,261 = 593,261/x
  3. Step 3: Cross multiply
    373,364x = 593,261 × 593,261
  4. Step 4: Simplify right side
    373,364x = 351,958,614,121
  5. Step 5: Solve for x
    x = 351,958,614,121/373,364
  6. Step 6: Final answer
    x = 942,668.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.