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Finding the Third Proportional to 475,098.75 and 989,381.25

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Solution

The third proportional to 475,098.75 and 989,381.25 is: 2,060,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,098.75 : 989,381.25 = 989,381.25 : x
  2. Step 2: Convert to fraction form
    475,098.75/989,381.25 = 989,381.25/x
  3. Step 3: Cross multiply
    475,098.75x = 989,381.25 × 989,381.25
  4. Step 4: Simplify right side
    475,098.75x = 978,875,257,851.56
  5. Step 5: Solve for x
    x = 978,875,257,851.56/475,098.75
  6. Step 6: Final answer
    x = 2,060,361.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.