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Finding the Third Proportional to 463,228 and 734,100

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Solution

The third proportional to 463,228 and 734,100 is: 1,163,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,228 : 734,100 = 734,100 : x
  2. Step 2: Convert to fraction form
    463,228/734,100 = 734,100/x
  3. Step 3: Cross multiply
    463,228x = 734,100 × 734,100
  4. Step 4: Simplify right side
    463,228x = 538,902,810,000
  5. Step 5: Solve for x
    x = 538,902,810,000/463,228
  6. Step 6: Final answer
    x = 1,163,364.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.