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Finding the Third Proportional to 344,319 and 461,802

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Solution

The third proportional to 344,319 and 461,802 is: 619,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,319 : 461,802 = 461,802 : x
  2. Step 2: Convert to fraction form
    344,319/461,802 = 461,802/x
  3. Step 3: Cross multiply
    344,319x = 461,802 × 461,802
  4. Step 4: Simplify right side
    344,319x = 213,261,087,204
  5. Step 5: Solve for x
    x = 213,261,087,204/344,319
  6. Step 6: Final answer
    x = 619,370.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.