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Finding the Third Proportional to 283,439.75 and 616,699.13

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Solution

The third proportional to 283,439.75 and 616,699.13 is: 1,341,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,439.75 : 616,699.13 = 616,699.13 : x
  2. Step 2: Convert to fraction form
    283,439.75/616,699.13 = 616,699.13/x
  3. Step 3: Cross multiply
    283,439.75x = 616,699.13 × 616,699.13
  4. Step 4: Simplify right side
    283,439.75x = 380,317,810,775.77
  5. Step 5: Solve for x
    x = 380,317,810,775.77/283,439.75
  6. Step 6: Final answer
    x = 1,341,794.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.