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Finding the Third Proportional to 365,706.75 and 881,005.50

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Solution

The third proportional to 365,706.75 and 881,005.50 is: 2,122,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,706.75 : 881,005.50 = 881,005.50 : x
  2. Step 2: Convert to fraction form
    365,706.75/881,005.50 = 881,005.50/x
  3. Step 3: Cross multiply
    365,706.75x = 881,005.50 × 881,005.50
  4. Step 4: Simplify right side
    365,706.75x = 776,170,691,030.25
  5. Step 5: Solve for x
    x = 776,170,691,030.25/365,706.75
  6. Step 6: Final answer
    x = 2,122,385.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.