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Finding the Third Proportional to 876,532.50 and 1,314,796.50

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Solution

The third proportional to 876,532.50 and 1,314,796.50 is: 1,972,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,532.50 : 1,314,796.50 = 1,314,796.50 : x
  2. Step 2: Convert to fraction form
    876,532.50/1,314,796.50 = 1,314,796.50/x
  3. Step 3: Cross multiply
    876,532.50x = 1,314,796.50 × 1,314,796.50
  4. Step 4: Simplify right side
    876,532.50x = 1,728,689,836,412.25
  5. Step 5: Solve for x
    x = 1,728,689,836,412.25/876,532.50
  6. Step 6: Final answer
    x = 1,972,191.38

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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.