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Finding the Third Proportional to 448,998.75 and 975,503.25

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Solution

The third proportional to 448,998.75 and 975,503.25 is: 2,119,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,998.75 : 975,503.25 = 975,503.25 : x
  2. Step 2: Convert to fraction form
    448,998.75/975,503.25 = 975,503.25/x
  3. Step 3: Cross multiply
    448,998.75x = 975,503.25 × 975,503.25
  4. Step 4: Simplify right side
    448,998.75x = 951,606,590,760.56
  5. Step 5: Solve for x
    x = 951,606,590,760.56/448,998.75
  6. Step 6: Final answer
    x = 2,119,396.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.