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Finding the Third Proportional to 287,092 and 410,954

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Solution

The third proportional to 287,092 and 410,954 is: 588,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,092 : 410,954 = 410,954 : x
  2. Step 2: Convert to fraction form
    287,092/410,954 = 410,954/x
  3. Step 3: Cross multiply
    287,092x = 410,954 × 410,954
  4. Step 4: Simplify right side
    287,092x = 168,883,190,116
  5. Step 5: Solve for x
    x = 168,883,190,116/287,092
  6. Step 6: Final answer
    x = 588,254.60

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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.