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Finding the Third Proportional to 364,075 and 798,133

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Solution

The third proportional to 364,075 and 798,133 is: 1,749,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,075 : 798,133 = 798,133 : x
  2. Step 2: Convert to fraction form
    364,075/798,133 = 798,133/x
  3. Step 3: Cross multiply
    364,075x = 798,133 × 798,133
  4. Step 4: Simplify right side
    364,075x = 637,016,285,689
  5. Step 5: Solve for x
    x = 637,016,285,689/364,075
  6. Step 6: Final answer
    x = 1,749,684.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.