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Finding the Third Proportional to 245,450 and 537,745

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Solution

The third proportional to 245,450 and 537,745 is: 1,178,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,450 : 537,745 = 537,745 : x
  2. Step 2: Convert to fraction form
    245,450/537,745 = 537,745/x
  3. Step 3: Cross multiply
    245,450x = 537,745 × 537,745
  4. Step 4: Simplify right side
    245,450x = 289,169,685,025
  5. Step 5: Solve for x
    x = 289,169,685,025/245,450
  6. Step 6: Final answer
    x = 1,178,120.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.