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Finding the Third Proportional to 304,506 and 438,615

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Solution

The third proportional to 304,506 and 438,615 is: 631,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,506 : 438,615 = 438,615 : x
  2. Step 2: Convert to fraction form
    304,506/438,615 = 438,615/x
  3. Step 3: Cross multiply
    304,506x = 438,615 × 438,615
  4. Step 4: Simplify right side
    304,506x = 192,383,118,225
  5. Step 5: Solve for x
    x = 192,383,118,225/304,506
  6. Step 6: Final answer
    x = 631,787.61

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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.