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Finding the Third Proportional to 448,289.44 and 967,423.50

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Solution

The third proportional to 448,289.44 and 967,423.50 is: 2,087,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,289.44 : 967,423.50 = 967,423.50 : x
  2. Step 2: Convert to fraction form
    448,289.44/967,423.50 = 967,423.50/x
  3. Step 3: Cross multiply
    448,289.44x = 967,423.50 × 967,423.50
  4. Step 4: Simplify right side
    448,289.44x = 935,908,228,352.25
  5. Step 5: Solve for x
    x = 935,908,228,352.25/448,289.44
  6. Step 6: Final answer
    x = 2,087,732.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.