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Finding the Third Proportional to 367,075 and 538,482

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Solution

The third proportional to 367,075 and 538,482 is: 789,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,075 : 538,482 = 538,482 : x
  2. Step 2: Convert to fraction form
    367,075/538,482 = 538,482/x
  3. Step 3: Cross multiply
    367,075x = 538,482 × 538,482
  4. Step 4: Simplify right side
    367,075x = 289,962,864,324
  5. Step 5: Solve for x
    x = 289,962,864,324/367,075
  6. Step 6: Final answer
    x = 789,928.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.