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Finding the Third Proportional to 590,512.50 and 916,116.75

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Solution

The third proportional to 590,512.50 and 916,116.75 is: 1,421,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,512.50 : 916,116.75 = 916,116.75 : x
  2. Step 2: Convert to fraction form
    590,512.50/916,116.75 = 916,116.75/x
  3. Step 3: Cross multiply
    590,512.50x = 916,116.75 × 916,116.75
  4. Step 4: Simplify right side
    590,512.50x = 839,269,899,630.56
  5. Step 5: Solve for x
    x = 839,269,899,630.56/590,512.50
  6. Step 6: Final answer
    x = 1,421,256.79

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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.