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Finding the Third Proportional to 352,542.38 and 537,075.56

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Solution

The third proportional to 352,542.38 and 537,075.56 is: 818,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,542.38 : 537,075.56 = 537,075.56 : x
  2. Step 2: Convert to fraction form
    352,542.38/537,075.56 = 537,075.56/x
  3. Step 3: Cross multiply
    352,542.38x = 537,075.56 × 537,075.56
  4. Step 4: Simplify right side
    352,542.38x = 288,450,159,834.69
  5. Step 5: Solve for x
    x = 288,450,159,834.69/352,542.38
  6. Step 6: Final answer
    x = 818,199.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.