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Finding the Third Proportional to 287,772 and 446,835

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Solution

The third proportional to 287,772 and 446,835 is: 693,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,772 : 446,835 = 446,835 : x
  2. Step 2: Convert to fraction form
    287,772/446,835 = 446,835/x
  3. Step 3: Cross multiply
    287,772x = 446,835 × 446,835
  4. Step 4: Simplify right side
    287,772x = 199,661,517,225
  5. Step 5: Solve for x
    x = 199,661,517,225/287,772
  6. Step 6: Final answer
    x = 693,818.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.