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Finding the Third Proportional to 373,643.25 and 594,826.50

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Solution

The third proportional to 373,643.25 and 594,826.50 is: 946,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,643.25 : 594,826.50 = 594,826.50 : x
  2. Step 2: Convert to fraction form
    373,643.25/594,826.50 = 594,826.50/x
  3. Step 3: Cross multiply
    373,643.25x = 594,826.50 × 594,826.50
  4. Step 4: Simplify right side
    373,643.25x = 353,818,565,102.25
  5. Step 5: Solve for x
    x = 353,818,565,102.25/373,643.25
  6. Step 6: Final answer
    x = 946,942.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.