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Finding the Third Proportional to 530,394.75 and 1,144,806.75

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Solution

The third proportional to 530,394.75 and 1,144,806.75 is: 2,470,956.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,394.75 : 1,144,806.75 = 1,144,806.75 : x
  2. Step 2: Convert to fraction form
    530,394.75/1,144,806.75 = 1,144,806.75/x
  3. Step 3: Cross multiply
    530,394.75x = 1,144,806.75 × 1,144,806.75
  4. Step 4: Simplify right side
    530,394.75x = 1,310,582,494,845.56
  5. Step 5: Solve for x
    x = 1,310,582,494,845.56/530,394.75
  6. Step 6: Final answer
    x = 2,470,956.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.