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Finding the Third Proportional to 305,739.50 and 463,226.25

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Solution

The third proportional to 305,739.50 and 463,226.25 is: 701,834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,739.50 : 463,226.25 = 463,226.25 : x
  2. Step 2: Convert to fraction form
    305,739.50/463,226.25 = 463,226.25/x
  3. Step 3: Cross multiply
    305,739.50x = 463,226.25 × 463,226.25
  4. Step 4: Simplify right side
    305,739.50x = 214,578,558,689.06
  5. Step 5: Solve for x
    x = 214,578,558,689.06/305,739.50
  6. Step 6: Final answer
    x = 701,834.60

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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.