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Finding the Third Proportional to 714,112.50 and 979,215

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Solution

The third proportional to 714,112.50 and 979,215 is: 1,342,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,112.50 : 979,215 = 979,215 : x
  2. Step 2: Convert to fraction form
    714,112.50/979,215 = 979,215/x
  3. Step 3: Cross multiply
    714,112.50x = 979,215 × 979,215
  4. Step 4: Simplify right side
    714,112.50x = 958,862,016,225
  5. Step 5: Solve for x
    x = 958,862,016,225/714,112.50
  6. Step 6: Final answer
    x = 1,342,732.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.