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Finding the Third Proportional to 304,692 and 464,182

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Solution

The third proportional to 304,692 and 464,182 is: 707,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,692 : 464,182 = 464,182 : x
  2. Step 2: Convert to fraction form
    304,692/464,182 = 464,182/x
  3. Step 3: Cross multiply
    304,692x = 464,182 × 464,182
  4. Step 4: Simplify right side
    304,692x = 215,464,929,124
  5. Step 5: Solve for x
    x = 215,464,929,124/304,692
  6. Step 6: Final answer
    x = 707,156.50

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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.