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Finding the Third Proportional to 343,184 and 517,296

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Solution

The third proportional to 343,184 and 517,296 is: 779,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,184 : 517,296 = 517,296 : x
  2. Step 2: Convert to fraction form
    343,184/517,296 = 517,296/x
  3. Step 3: Cross multiply
    343,184x = 517,296 × 517,296
  4. Step 4: Simplify right side
    343,184x = 267,595,151,616
  5. Step 5: Solve for x
    x = 267,595,151,616/343,184
  6. Step 6: Final answer
    x = 779,742.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.