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Finding the Third Proportional to 604,219.50 and 846,996.75

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Solution

The third proportional to 604,219.50 and 846,996.75 is: 1,187,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,219.50 : 846,996.75 = 846,996.75 : x
  2. Step 2: Convert to fraction form
    604,219.50/846,996.75 = 846,996.75/x
  3. Step 3: Cross multiply
    604,219.50x = 846,996.75 × 846,996.75
  4. Step 4: Simplify right side
    604,219.50x = 717,403,494,510.56
  5. Step 5: Solve for x
    x = 717,403,494,510.56/604,219.50
  6. Step 6: Final answer
    x = 1,187,322.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.