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Finding the Third Proportional to 287,772 and 435,672

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Solution

The third proportional to 287,772 and 435,672 is: 659,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772 : 435,672 = 435,672 : x
  2. Step 2: Convert to fraction form
    287,772/435,672 = 435,672/x
  3. Step 3: Cross multiply
    287,772x = 435,672 × 435,672
  4. Step 4: Simplify right side
    287,772x = 189,810,091,584
  5. Step 5: Solve for x
    x = 189,810,091,584/287,772
  6. Step 6: Final answer
    x = 659,584.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.