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Finding the Third Proportional to 253,617 and 589,741.50

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Solution

The third proportional to 253,617 and 589,741.50 is: 1,371,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,617 : 589,741.50 = 589,741.50 : x
  2. Step 2: Convert to fraction form
    253,617/589,741.50 = 589,741.50/x
  3. Step 3: Cross multiply
    253,617x = 589,741.50 × 589,741.50
  4. Step 4: Simplify right side
    253,617x = 347,795,036,822.25
  5. Step 5: Solve for x
    x = 347,795,036,822.25/253,617
  6. Step 6: Final answer
    x = 1,371,339.61

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.