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Finding the Third Proportional to 344,352 and 505,296

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Solution

The third proportional to 344,352 and 505,296 is: 741,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,352 : 505,296 = 505,296 : x
  2. Step 2: Convert to fraction form
    344,352/505,296 = 505,296/x
  3. Step 3: Cross multiply
    344,352x = 505,296 × 505,296
  4. Step 4: Simplify right side
    344,352x = 255,324,047,616
  5. Step 5: Solve for x
    x = 255,324,047,616/344,352
  6. Step 6: Final answer
    x = 741,462.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.