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Finding the Third Proportional to 341,516 and 548,723

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Solution

The third proportional to 341,516 and 548,723 is: 881,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,516 : 548,723 = 548,723 : x
  2. Step 2: Convert to fraction form
    341,516/548,723 = 548,723/x
  3. Step 3: Cross multiply
    341,516x = 548,723 × 548,723
  4. Step 4: Simplify right side
    341,516x = 301,096,930,729
  5. Step 5: Solve for x
    x = 301,096,930,729/341,516
  6. Step 6: Final answer
    x = 881,648.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.