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Finding the Third Proportional to 465,403.50 and 1,005,075

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Solution

The third proportional to 465,403.50 and 1,005,075 is: 2,170,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,403.50 : 1,005,075 = 1,005,075 : x
  2. Step 2: Convert to fraction form
    465,403.50/1,005,075 = 1,005,075/x
  3. Step 3: Cross multiply
    465,403.50x = 1,005,075 × 1,005,075
  4. Step 4: Simplify right side
    465,403.50x = 1,010,175,755,625
  5. Step 5: Solve for x
    x = 1,010,175,755,625/465,403.50
  6. Step 6: Final answer
    x = 2,170,537.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.