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Finding the Third Proportional to 361,035 and 561,289.50

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Solution

The third proportional to 361,035 and 561,289.50 is: 872,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,035 : 561,289.50 = 561,289.50 : x
  2. Step 2: Convert to fraction form
    361,035/561,289.50 = 561,289.50/x
  3. Step 3: Cross multiply
    361,035x = 561,289.50 × 561,289.50
  4. Step 4: Simplify right side
    361,035x = 315,045,902,810.25
  5. Step 5: Solve for x
    x = 315,045,902,810.25/361,035
  6. Step 6: Final answer
    x = 872,618.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.