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Finding the Third Proportional to 394,152.75 and 601,070.63

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Solution

The third proportional to 394,152.75 and 601,070.63 is: 916,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,152.75 : 601,070.63 = 601,070.63 : x
  2. Step 2: Convert to fraction form
    394,152.75/601,070.63 = 601,070.63/x
  3. Step 3: Cross multiply
    394,152.75x = 601,070.63 × 601,070.63
  4. Step 4: Simplify right side
    394,152.75x = 361,285,896,237.89
  5. Step 5: Solve for x
    x = 361,285,896,237.89/394,152.75
  6. Step 6: Final answer
    x = 916,613.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.