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Finding the Third Proportional to 300,308 and 652,888

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Solution

The third proportional to 300,308 and 652,888 is: 1,419,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,308 : 652,888 = 652,888 : x
  2. Step 2: Convert to fraction form
    300,308/652,888 = 652,888/x
  3. Step 3: Cross multiply
    300,308x = 652,888 × 652,888
  4. Step 4: Simplify right side
    300,308x = 426,262,740,544
  5. Step 5: Solve for x
    x = 426,262,740,544/300,308
  6. Step 6: Final answer
    x = 1,419,418.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.