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Finding the Third Proportional to 315,740 and 483,008

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Solution

The third proportional to 315,740 and 483,008 is: 738,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,740 : 483,008 = 483,008 : x
  2. Step 2: Convert to fraction form
    315,740/483,008 = 483,008/x
  3. Step 3: Cross multiply
    315,740x = 483,008 × 483,008
  4. Step 4: Simplify right side
    315,740x = 233,296,728,064
  5. Step 5: Solve for x
    x = 233,296,728,064/315,740
  6. Step 6: Final answer
    x = 738,888.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.