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Finding the Third Proportional to 447,764.10 and 983,492.30

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Solution

The third proportional to 447,764.10 and 983,492.30 is: 2,160,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,764.10 : 983,492.30 = 983,492.30 : x
  2. Step 2: Convert to fraction form
    447,764.10/983,492.30 = 983,492.30/x
  3. Step 3: Cross multiply
    447,764.10x = 983,492.30 × 983,492.30
  4. Step 4: Simplify right side
    447,764.10x = 967,257,098,012.46
  5. Step 5: Solve for x
    x = 967,257,098,012.46/447,764.10
  6. Step 6: Final answer
    x = 2,160,193.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.