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Finding the Third Proportional to 400,740 and 599,854

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Solution

The third proportional to 400,740 and 599,854 is: 897,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,740 : 599,854 = 599,854 : x
  2. Step 2: Convert to fraction form
    400,740/599,854 = 599,854/x
  3. Step 3: Cross multiply
    400,740x = 599,854 × 599,854
  4. Step 4: Simplify right side
    400,740x = 359,824,821,316
  5. Step 5: Solve for x
    x = 359,824,821,316/400,740
  6. Step 6: Final answer
    x = 897,900.94

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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.