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Finding the Third Proportional to 325,656 and 464,832

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Solution

The third proportional to 325,656 and 464,832 is: 663,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,656 : 464,832 = 464,832 : x
  2. Step 2: Convert to fraction form
    325,656/464,832 = 464,832/x
  3. Step 3: Cross multiply
    325,656x = 464,832 × 464,832
  4. Step 4: Simplify right side
    325,656x = 216,068,788,224
  5. Step 5: Solve for x
    x = 216,068,788,224/325,656
  6. Step 6: Final answer
    x = 663,487.82

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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.