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Finding the Third Proportional to 310,415.50 and 665,105

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Solution

The third proportional to 310,415.50 and 665,105 is: 1,425,072.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,415.50 : 665,105 = 665,105 : x
  2. Step 2: Convert to fraction form
    310,415.50/665,105 = 665,105/x
  3. Step 3: Cross multiply
    310,415.50x = 665,105 × 665,105
  4. Step 4: Simplify right side
    310,415.50x = 442,364,661,025
  5. Step 5: Solve for x
    x = 442,364,661,025/310,415.50
  6. Step 6: Final answer
    x = 1,425,072.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.