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Finding the Third Proportional to 448,699.50 and 963,171

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Solution

The third proportional to 448,699.50 and 963,171 is: 2,067,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,699.50 : 963,171 = 963,171 : x
  2. Step 2: Convert to fraction form
    448,699.50/963,171 = 963,171/x
  3. Step 3: Cross multiply
    448,699.50x = 963,171 × 963,171
  4. Step 4: Simplify right side
    448,699.50x = 927,698,375,241
  5. Step 5: Solve for x
    x = 927,698,375,241/448,699.50
  6. Step 6: Final answer
    x = 2,067,527.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.