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Finding the Third Proportional to 283,391.16 and 598,774.78

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Solution

The third proportional to 283,391.16 and 598,774.78 is: 1,265,146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,391.16 : 598,774.78 = 598,774.78 : x
  2. Step 2: Convert to fraction form
    283,391.16/598,774.78 = 598,774.78/x
  3. Step 3: Cross multiply
    283,391.16x = 598,774.78 × 598,774.78
  4. Step 4: Simplify right side
    283,391.16x = 358,531,238,660.99
  5. Step 5: Solve for x
    x = 358,531,238,660.99/283,391.16
  6. Step 6: Final answer
    x = 1,265,146.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.