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Finding the Third Proportional to 296,424 and 649,068

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Solution

The third proportional to 296,424 and 649,068 is: 1,421,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,424 : 649,068 = 649,068 : x
  2. Step 2: Convert to fraction form
    296,424/649,068 = 649,068/x
  3. Step 3: Cross multiply
    296,424x = 649,068 × 649,068
  4. Step 4: Simplify right side
    296,424x = 421,289,268,624
  5. Step 5: Solve for x
    x = 421,289,268,624/296,424
  6. Step 6: Final answer
    x = 1,421,238.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.