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Finding the Third Proportional to 305,208 and 464,913

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Solution

The third proportional to 305,208 and 464,913 is: 708,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,208 : 464,913 = 464,913 : x
  2. Step 2: Convert to fraction form
    305,208/464,913 = 464,913/x
  3. Step 3: Cross multiply
    305,208x = 464,913 × 464,913
  4. Step 4: Simplify right side
    305,208x = 216,144,097,569
  5. Step 5: Solve for x
    x = 216,144,097,569/305,208
  6. Step 6: Final answer
    x = 708,186.21

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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.