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Finding the Third Proportional to 312,251 and 649,046

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Solution

The third proportional to 312,251 and 649,046 is: 1,349,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,251 : 649,046 = 649,046 : x
  2. Step 2: Convert to fraction form
    312,251/649,046 = 649,046/x
  3. Step 3: Cross multiply
    312,251x = 649,046 × 649,046
  4. Step 4: Simplify right side
    312,251x = 421,260,710,116
  5. Step 5: Solve for x
    x = 421,260,710,116/312,251
  6. Step 6: Final answer
    x = 1,349,109.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.