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Finding the Third Proportional to 590,674.50 and 891,418.50

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Solution

The third proportional to 590,674.50 and 891,418.50 is: 1,345,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,674.50 : 891,418.50 = 891,418.50 : x
  2. Step 2: Convert to fraction form
    590,674.50/891,418.50 = 891,418.50/x
  3. Step 3: Cross multiply
    590,674.50x = 891,418.50 × 891,418.50
  4. Step 4: Simplify right side
    590,674.50x = 794,626,942,142.25
  5. Step 5: Solve for x
    x = 794,626,942,142.25/590,674.50
  6. Step 6: Final answer
    x = 1,345,287.37

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Why These Related Problems?

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