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Finding the Third Proportional to 482,467 and 709,667

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Solution

The third proportional to 482,467 and 709,667 is: 1,043,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,467 : 709,667 = 709,667 : x
  2. Step 2: Convert to fraction form
    482,467/709,667 = 709,667/x
  3. Step 3: Cross multiply
    482,467x = 709,667 × 709,667
  4. Step 4: Simplify right side
    482,467x = 503,627,250,889
  5. Step 5: Solve for x
    x = 503,627,250,889/482,467
  6. Step 6: Final answer
    x = 1,043,858.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.