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Finding the Third Proportional to 359,834 and 528,075

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Solution

The third proportional to 359,834 and 528,075 is: 774,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,834 : 528,075 = 528,075 : x
  2. Step 2: Convert to fraction form
    359,834/528,075 = 528,075/x
  3. Step 3: Cross multiply
    359,834x = 528,075 × 528,075
  4. Step 4: Simplify right side
    359,834x = 278,863,205,625
  5. Step 5: Solve for x
    x = 278,863,205,625/359,834
  6. Step 6: Final answer
    x = 774,977.37

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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.