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Finding the Third Proportional to 371,633 and 548,701

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Solution

The third proportional to 371,633 and 548,701 is: 810,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,633 : 548,701 = 548,701 : x
  2. Step 2: Convert to fraction form
    371,633/548,701 = 548,701/x
  3. Step 3: Cross multiply
    371,633x = 548,701 × 548,701
  4. Step 4: Simplify right side
    371,633x = 301,072,787,401
  5. Step 5: Solve for x
    x = 301,072,787,401/371,633
  6. Step 6: Final answer
    x = 810,134.70

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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.