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Finding the Third Proportional to 400,176 and 610,429.50

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Solution

The third proportional to 400,176 and 610,429.50 is: 931,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,176 : 610,429.50 = 610,429.50 : x
  2. Step 2: Convert to fraction form
    400,176/610,429.50 = 610,429.50/x
  3. Step 3: Cross multiply
    400,176x = 610,429.50 × 610,429.50
  4. Step 4: Simplify right side
    400,176x = 372,624,174,470.25
  5. Step 5: Solve for x
    x = 372,624,174,470.25/400,176
  6. Step 6: Final answer
    x = 931,150.73

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.