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Finding the Third Proportional to 400,775.34 and 599,162.06

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Solution

The third proportional to 400,775.34 and 599,162.06 is: 895,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,775.34 : 599,162.06 = 599,162.06 : x
  2. Step 2: Convert to fraction form
    400,775.34/599,162.06 = 599,162.06/x
  3. Step 3: Cross multiply
    400,775.34x = 599,162.06 × 599,162.06
  4. Step 4: Simplify right side
    400,775.34x = 358,995,177,139.25
  5. Step 5: Solve for x
    x = 358,995,177,139.25/400,775.34
  6. Step 6: Final answer
    x = 895,751.65

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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.