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Finding the Third Proportional to 304,614 and 455,166

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Solution

The third proportional to 304,614 and 455,166 is: 680,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614 : 455,166 = 455,166 : x
  2. Step 2: Convert to fraction form
    304,614/455,166 = 455,166/x
  3. Step 3: Cross multiply
    304,614x = 455,166 × 455,166
  4. Step 4: Simplify right side
    304,614x = 207,176,087,556
  5. Step 5: Solve for x
    x = 207,176,087,556/304,614
  6. Step 6: Final answer
    x = 680,126.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.