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Finding the Third Proportional to 612,421.50 and 919,243.50

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Solution

The third proportional to 612,421.50 and 919,243.50 is: 1,379,782.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,421.50 : 919,243.50 = 919,243.50 : x
  2. Step 2: Convert to fraction form
    612,421.50/919,243.50 = 919,243.50/x
  3. Step 3: Cross multiply
    612,421.50x = 919,243.50 × 919,243.50
  4. Step 4: Simplify right side
    612,421.50x = 845,008,612,292.25
  5. Step 5: Solve for x
    x = 845,008,612,292.25/612,421.50
  6. Step 6: Final answer
    x = 1,379,782.74

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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.