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Finding the Third Proportional to 308,464.50 and 714,027

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Solution

The third proportional to 308,464.50 and 714,027 is: 1,652,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,464.50 : 714,027 = 714,027 : x
  2. Step 2: Convert to fraction form
    308,464.50/714,027 = 714,027/x
  3. Step 3: Cross multiply
    308,464.50x = 714,027 × 714,027
  4. Step 4: Simplify right side
    308,464.50x = 509,834,556,729
  5. Step 5: Solve for x
    x = 509,834,556,729/308,464.50
  6. Step 6: Final answer
    x = 1,652,814.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.