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Finding the Third Proportional to 296,095.50 and 421,999.88

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Solution

The third proportional to 296,095.50 and 421,999.88 is: 601,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,095.50 : 421,999.88 = 421,999.88 : x
  2. Step 2: Convert to fraction form
    296,095.50/421,999.88 = 421,999.88/x
  3. Step 3: Cross multiply
    296,095.50x = 421,999.88 × 421,999.88
  4. Step 4: Simplify right side
    296,095.50x = 178,083,894,500.02
  5. Step 5: Solve for x
    x = 178,083,894,500.02/296,095.50
  6. Step 6: Final answer
    x = 601,440.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.