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Finding the Third Proportional to 371,635 and 548,704

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Solution

The third proportional to 371,635 and 548,704 is: 810,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,635 : 548,704 = 548,704 : x
  2. Step 2: Convert to fraction form
    371,635/548,704 = 548,704/x
  3. Step 3: Cross multiply
    371,635x = 548,704 × 548,704
  4. Step 4: Simplify right side
    371,635x = 301,076,079,616
  5. Step 5: Solve for x
    x = 301,076,079,616/371,635
  6. Step 6: Final answer
    x = 810,139.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.