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Finding the Third Proportional to 598,599.50 and 1,292,155

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Solution

The third proportional to 598,599.50 and 1,292,155 is: 2,789,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,599.50 : 1,292,155 = 1,292,155 : x
  2. Step 2: Convert to fraction form
    598,599.50/1,292,155 = 1,292,155/x
  3. Step 3: Cross multiply
    598,599.50x = 1,292,155 × 1,292,155
  4. Step 4: Simplify right side
    598,599.50x = 1,669,664,544,025
  5. Step 5: Solve for x
    x = 1,669,664,544,025/598,599.50
  6. Step 6: Final answer
    x = 2,789,284.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.