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Finding the Third Proportional to 471,523.50 and 964,836

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Solution

The third proportional to 471,523.50 and 964,836 is: 1,974,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,523.50 : 964,836 = 964,836 : x
  2. Step 2: Convert to fraction form
    471,523.50/964,836 = 964,836/x
  3. Step 3: Cross multiply
    471,523.50x = 964,836 × 964,836
  4. Step 4: Simplify right side
    471,523.50x = 930,908,506,896
  5. Step 5: Solve for x
    x = 930,908,506,896/471,523.50
  6. Step 6: Final answer
    x = 1,974,256.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.