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Finding the Third Proportional to 304,992 and 466,560

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Solution

The third proportional to 304,992 and 466,560 is: 713,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,992 : 466,560 = 466,560 : x
  2. Step 2: Convert to fraction form
    304,992/466,560 = 466,560/x
  3. Step 3: Cross multiply
    304,992x = 466,560 × 466,560
  4. Step 4: Simplify right side
    304,992x = 217,678,233,600
  5. Step 5: Solve for x
    x = 217,678,233,600/304,992
  6. Step 6: Final answer
    x = 713,717.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.