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Finding the Third Proportional to 303,886.69 and 652,075.31

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Solution

The third proportional to 303,886.69 and 652,075.31 is: 1,399,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,886.69 : 652,075.31 = 652,075.31 : x
  2. Step 2: Convert to fraction form
    303,886.69/652,075.31 = 652,075.31/x
  3. Step 3: Cross multiply
    303,886.69x = 652,075.31 × 652,075.31
  4. Step 4: Simplify right side
    303,886.69x = 425,202,213,171.97
  5. Step 5: Solve for x
    x = 425,202,213,171.97/303,886.69
  6. Step 6: Final answer
    x = 1,399,213.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.