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Finding the Third Proportional to 400,828.50 and 599,298.75

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Solution

The third proportional to 400,828.50 and 599,298.75 is: 896,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,828.50 : 599,298.75 = 599,298.75 : x
  2. Step 2: Convert to fraction form
    400,828.50/599,298.75 = 599,298.75/x
  3. Step 3: Cross multiply
    400,828.50x = 599,298.75 × 599,298.75
  4. Step 4: Simplify right side
    400,828.50x = 359,158,991,751.56
  5. Step 5: Solve for x
    x = 359,158,991,751.56/400,828.50
  6. Step 6: Final answer
    x = 896,041.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.