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Finding the Third Proportional to 732,776.50 and 1,590,884.75

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Solution

The third proportional to 732,776.50 and 1,590,884.75 is: 3,453,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,776.50 : 1,590,884.75 = 1,590,884.75 : x
  2. Step 2: Convert to fraction form
    732,776.50/1,590,884.75 = 1,590,884.75/x
  3. Step 3: Cross multiply
    732,776.50x = 1,590,884.75 × 1,590,884.75
  4. Step 4: Simplify right side
    732,776.50x = 2,530,914,287,782.56
  5. Step 5: Solve for x
    x = 2,530,914,287,782.56/732,776.50
  6. Step 6: Final answer
    x = 3,453,869.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.