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Finding the Third Proportional to 678,145.50 and 996,806.25

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Solution

The third proportional to 678,145.50 and 996,806.25 is: 1,465,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,145.50 : 996,806.25 = 996,806.25 : x
  2. Step 2: Convert to fraction form
    678,145.50/996,806.25 = 996,806.25/x
  3. Step 3: Cross multiply
    678,145.50x = 996,806.25 × 996,806.25
  4. Step 4: Simplify right side
    678,145.50x = 993,622,700,039.06
  5. Step 5: Solve for x
    x = 993,622,700,039.06/678,145.50
  6. Step 6: Final answer
    x = 1,465,205.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.