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Finding the Third Proportional to 276,598.50 and 417,441.50

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Solution

The third proportional to 276,598.50 and 417,441.50 is: 630,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,598.50 : 417,441.50 = 417,441.50 : x
  2. Step 2: Convert to fraction form
    276,598.50/417,441.50 = 417,441.50/x
  3. Step 3: Cross multiply
    276,598.50x = 417,441.50 × 417,441.50
  4. Step 4: Simplify right side
    276,598.50x = 174,257,405,922.25
  5. Step 5: Solve for x
    x = 174,257,405,922.25/276,598.50
  6. Step 6: Final answer
    x = 630,001.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.