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Finding the Third Proportional to 448,825.50 and 982,107

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Solution

The third proportional to 448,825.50 and 982,107 is: 2,149,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,825.50 : 982,107 = 982,107 : x
  2. Step 2: Convert to fraction form
    448,825.50/982,107 = 982,107/x
  3. Step 3: Cross multiply
    448,825.50x = 982,107 × 982,107
  4. Step 4: Simplify right side
    448,825.50x = 964,534,159,449
  5. Step 5: Solve for x
    x = 964,534,159,449/448,825.50
  6. Step 6: Final answer
    x = 2,149,018.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.