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Finding the Third Proportional to 304,102.50 and 438,049.50

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Solution

The third proportional to 304,102.50 and 438,049.50 is: 630,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,102.50 : 438,049.50 = 438,049.50 : x
  2. Step 2: Convert to fraction form
    304,102.50/438,049.50 = 438,049.50/x
  3. Step 3: Cross multiply
    304,102.50x = 438,049.50 × 438,049.50
  4. Step 4: Simplify right side
    304,102.50x = 191,887,364,450.25
  5. Step 5: Solve for x
    x = 191,887,364,450.25/304,102.50
  6. Step 6: Final answer
    x = 630,995.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.