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Finding the Third Proportional to 594,731 and 889,500

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Solution

The third proportional to 594,731 and 889,500 is: 1,330,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,731 : 889,500 = 889,500 : x
  2. Step 2: Convert to fraction form
    594,731/889,500 = 889,500/x
  3. Step 3: Cross multiply
    594,731x = 889,500 × 889,500
  4. Step 4: Simplify right side
    594,731x = 791,210,250,000
  5. Step 5: Solve for x
    x = 791,210,250,000/594,731
  6. Step 6: Final answer
    x = 1,330,366.59

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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.