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Finding the Third Proportional to 559,399.50 and 1,227,673.13

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Solution

The third proportional to 559,399.50 and 1,227,673.13 is: 2,694,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,399.50 : 1,227,673.13 = 1,227,673.13 : x
  2. Step 2: Convert to fraction form
    559,399.50/1,227,673.13 = 1,227,673.13/x
  3. Step 3: Cross multiply
    559,399.50x = 1,227,673.13 × 1,227,673.13
  4. Step 4: Simplify right side
    559,399.50x = 1,507,181,301,847.27
  5. Step 5: Solve for x
    x = 1,507,181,301,847.27/559,399.50
  6. Step 6: Final answer
    x = 2,694,284.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.