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Finding the Third Proportional to 509,500.50 and 1,041,123

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Solution

The third proportional to 509,500.50 and 1,041,123 is: 2,127,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,500.50 : 1,041,123 = 1,041,123 : x
  2. Step 2: Convert to fraction form
    509,500.50/1,041,123 = 1,041,123/x
  3. Step 3: Cross multiply
    509,500.50x = 1,041,123 × 1,041,123
  4. Step 4: Simplify right side
    509,500.50x = 1,083,937,101,129
  5. Step 5: Solve for x
    x = 1,083,937,101,129/509,500.50
  6. Step 6: Final answer
    x = 2,127,450.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.