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Finding the Third Proportional to 312,278 and 649,088.50

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Solution

The third proportional to 312,278 and 649,088.50 is: 1,349,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,278 : 649,088.50 = 649,088.50 : x
  2. Step 2: Convert to fraction form
    312,278/649,088.50 = 649,088.50/x
  3. Step 3: Cross multiply
    312,278x = 649,088.50 × 649,088.50
  4. Step 4: Simplify right side
    312,278x = 421,315,880,832.25
  5. Step 5: Solve for x
    x = 421,315,880,832.25/312,278
  6. Step 6: Final answer
    x = 1,349,169.27

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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.