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Finding the Third Proportional to 738,075 and 1,598,560.50

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Solution

The third proportional to 738,075 and 1,598,560.50 is: 3,462,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,075 : 1,598,560.50 = 1,598,560.50 : x
  2. Step 2: Convert to fraction form
    738,075/1,598,560.50 = 1,598,560.50/x
  3. Step 3: Cross multiply
    738,075x = 1,598,560.50 × 1,598,560.50
  4. Step 4: Simplify right side
    738,075x = 2,555,395,672,160.25
  5. Step 5: Solve for x
    x = 2,555,395,672,160.25/738,075
  6. Step 6: Final answer
    x = 3,462,243.91

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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.