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Finding the Third Proportional to 305,739 and 463,225.50

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Solution

The third proportional to 305,739 and 463,225.50 is: 701,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,739 : 463,225.50 = 463,225.50 : x
  2. Step 2: Convert to fraction form
    305,739/463,225.50 = 463,225.50/x
  3. Step 3: Cross multiply
    305,739x = 463,225.50 × 463,225.50
  4. Step 4: Simplify right side
    305,739x = 214,577,863,850.25
  5. Step 5: Solve for x
    x = 214,577,863,850.25/305,739
  6. Step 6: Final answer
    x = 701,833.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.