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Finding the Third Proportional to 373,658.06 and 594,847.13

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Solution

The third proportional to 373,658.06 and 594,847.13 is: 946,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,658.06 : 594,847.13 = 594,847.13 : x
  2. Step 2: Convert to fraction form
    373,658.06/594,847.13 = 594,847.13/x
  3. Step 3: Cross multiply
    373,658.06x = 594,847.13 × 594,847.13
  4. Step 4: Simplify right side
    373,658.06x = 353,843,102,120.77
  5. Step 5: Solve for x
    x = 353,843,102,120.77/373,658.06
  6. Step 6: Final answer
    x = 946,970.34

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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.