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Finding the Third Proportional to 377,834.63 and 566,518.43

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Solution

The third proportional to 377,834.63 and 566,518.43 is: 849,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,834.63 : 566,518.43 = 566,518.43 : x
  2. Step 2: Convert to fraction form
    377,834.63/566,518.43 = 566,518.43/x
  3. Step 3: Cross multiply
    377,834.63x = 566,518.43 × 566,518.43
  4. Step 4: Simplify right side
    377,834.63x = 320,943,131,175.59
  5. Step 5: Solve for x
    x = 320,943,131,175.59/377,834.63
  6. Step 6: Final answer
    x = 849,427.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.