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Finding the Third Proportional to 304,692 and 463,524

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Solution

The third proportional to 304,692 and 463,524 is: 705,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,692 : 463,524 = 463,524 : x
  2. Step 2: Convert to fraction form
    304,692/463,524 = 463,524/x
  3. Step 3: Cross multiply
    304,692x = 463,524 × 463,524
  4. Step 4: Simplify right side
    304,692x = 214,854,498,576
  5. Step 5: Solve for x
    x = 214,854,498,576/304,692
  6. Step 6: Final answer
    x = 705,153.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.