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Finding the Third Proportional to 350,075 and 749,965.50

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Solution

The third proportional to 350,075 and 749,965.50 is: 1,606,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,075 : 749,965.50 = 749,965.50 : x
  2. Step 2: Convert to fraction form
    350,075/749,965.50 = 749,965.50/x
  3. Step 3: Cross multiply
    350,075x = 749,965.50 × 749,965.50
  4. Step 4: Simplify right side
    350,075x = 562,448,251,190.25
  5. Step 5: Solve for x
    x = 562,448,251,190.25/350,075
  6. Step 6: Final answer
    x = 1,606,650.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.