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Finding the Third Proportional to 325,716 and 464,913

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Solution

The third proportional to 325,716 and 464,913 is: 663,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,716 : 464,913 = 464,913 : x
  2. Step 2: Convert to fraction form
    325,716/464,913 = 464,913/x
  3. Step 3: Cross multiply
    325,716x = 464,913 × 464,913
  4. Step 4: Simplify right side
    325,716x = 216,144,097,569
  5. Step 5: Solve for x
    x = 216,144,097,569/325,716
  6. Step 6: Final answer
    x = 663,596.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.