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Finding the Third Proportional to 379,814.06 and 601,432.59

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Solution

The third proportional to 379,814.06 and 601,432.59 is: 952,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,814.06 : 601,432.59 = 601,432.59 : x
  2. Step 2: Convert to fraction form
    379,814.06/601,432.59 = 601,432.59/x
  3. Step 3: Cross multiply
    379,814.06x = 601,432.59 × 601,432.59
  4. Step 4: Simplify right side
    379,814.06x = 361,721,164,824.85
  5. Step 5: Solve for x
    x = 361,721,164,824.85/379,814.06
  6. Step 6: Final answer
    x = 952,363.80

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.