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Finding the Third Proportional to 550,312.50 and 1,286,383.50

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Solution

The third proportional to 550,312.50 and 1,286,383.50 is: 3,006,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,312.50 : 1,286,383.50 = 1,286,383.50 : x
  2. Step 2: Convert to fraction form
    550,312.50/1,286,383.50 = 1,286,383.50/x
  3. Step 3: Cross multiply
    550,312.50x = 1,286,383.50 × 1,286,383.50
  4. Step 4: Simplify right side
    550,312.50x = 1,654,782,509,072.25
  5. Step 5: Solve for x
    x = 1,654,782,509,072.25/550,312.50
  6. Step 6: Final answer
    x = 3,006,986.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.