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Finding the Third Proportional to 308,511 and 476,749

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Solution

The third proportional to 308,511 and 476,749 is: 736,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,511 : 476,749 = 476,749 : x
  2. Step 2: Convert to fraction form
    308,511/476,749 = 476,749/x
  3. Step 3: Cross multiply
    308,511x = 476,749 × 476,749
  4. Step 4: Simplify right side
    308,511x = 227,289,609,001
  5. Step 5: Solve for x
    x = 227,289,609,001/308,511
  6. Step 6: Final answer
    x = 736,730.97

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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.