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Finding the Third Proportional to 507,204 and 784,932

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Solution

The third proportional to 507,204 and 784,932 is: 1,214,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,204 : 784,932 = 784,932 : x
  2. Step 2: Convert to fraction form
    507,204/784,932 = 784,932/x
  3. Step 3: Cross multiply
    507,204x = 784,932 × 784,932
  4. Step 4: Simplify right side
    507,204x = 616,118,244,624
  5. Step 5: Solve for x
    x = 616,118,244,624/507,204
  6. Step 6: Final answer
    x = 1,214,734.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.