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Finding the Third Proportional to 304,103.25 and 438,052.50

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Solution

The third proportional to 304,103.25 and 438,052.50 is: 631,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,103.25 : 438,052.50 = 438,052.50 : x
  2. Step 2: Convert to fraction form
    304,103.25/438,052.50 = 438,052.50/x
  3. Step 3: Cross multiply
    304,103.25x = 438,052.50 × 438,052.50
  4. Step 4: Simplify right side
    304,103.25x = 191,889,992,756.25
  5. Step 5: Solve for x
    x = 191,889,992,756.25/304,103.25
  6. Step 6: Final answer
    x = 631,002.77

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