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Finding the Third Proportional to 784,848.75 and 1,177,273.50

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Solution

The third proportional to 784,848.75 and 1,177,273.50 is: 1,765,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,848.75 : 1,177,273.50 = 1,177,273.50 : x
  2. Step 2: Convert to fraction form
    784,848.75/1,177,273.50 = 1,177,273.50/x
  3. Step 3: Cross multiply
    784,848.75x = 1,177,273.50 × 1,177,273.50
  4. Step 4: Simplify right side
    784,848.75x = 1,385,972,893,802.25
  5. Step 5: Solve for x
    x = 1,385,972,893,802.25/784,848.75
  6. Step 6: Final answer
    x = 1,765,910.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.