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Finding the Third Proportional to 320,456 and 741,835

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Solution

The third proportional to 320,456 and 741,835 is: 1,717,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,456 : 741,835 = 741,835 : x
  2. Step 2: Convert to fraction form
    320,456/741,835 = 741,835/x
  3. Step 3: Cross multiply
    320,456x = 741,835 × 741,835
  4. Step 4: Simplify right side
    320,456x = 550,319,167,225
  5. Step 5: Solve for x
    x = 550,319,167,225/320,456
  6. Step 6: Final answer
    x = 1,717,300.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.