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Finding the Third Proportional to 299,595 and 652,083

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Solution

The third proportional to 299,595 and 652,083 is: 1,419,290.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,595 : 652,083 = 652,083 : x
  2. Step 2: Convert to fraction form
    299,595/652,083 = 652,083/x
  3. Step 3: Cross multiply
    299,595x = 652,083 × 652,083
  4. Step 4: Simplify right side
    299,595x = 425,212,238,889
  5. Step 5: Solve for x
    x = 425,212,238,889/299,595
  6. Step 6: Final answer
    x = 1,419,290.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.