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Finding the Third Proportional to 262,729 and 407,647

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Solution

The third proportional to 262,729 and 407,647 is: 632,499.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,729 : 407,647 = 407,647 : x
  2. Step 2: Convert to fraction form
    262,729/407,647 = 407,647/x
  3. Step 3: Cross multiply
    262,729x = 407,647 × 407,647
  4. Step 4: Simplify right side
    262,729x = 166,176,076,609
  5. Step 5: Solve for x
    x = 166,176,076,609/262,729
  6. Step 6: Final answer
    x = 632,499.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.