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Finding the Third Proportional to 283,037 and 618,561.50

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Solution

The third proportional to 283,037 and 618,561.50 is: 1,351,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,037 : 618,561.50 = 618,561.50 : x
  2. Step 2: Convert to fraction form
    283,037/618,561.50 = 618,561.50/x
  3. Step 3: Cross multiply
    283,037x = 618,561.50 × 618,561.50
  4. Step 4: Simplify right side
    283,037x = 382,618,329,282.25
  5. Step 5: Solve for x
    x = 382,618,329,282.25/283,037
  6. Step 6: Final answer
    x = 1,351,831.49

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