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Finding the Third Proportional to 325,659 and 464,836.50

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Solution

The third proportional to 325,659 and 464,836.50 is: 663,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,659 : 464,836.50 = 464,836.50 : x
  2. Step 2: Convert to fraction form
    325,659/464,836.50 = 464,836.50/x
  3. Step 3: Cross multiply
    325,659x = 464,836.50 × 464,836.50
  4. Step 4: Simplify right side
    325,659x = 216,072,971,732.25
  5. Step 5: Solve for x
    x = 216,072,971,732.25/325,659
  6. Step 6: Final answer
    x = 663,494.55

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