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Finding the Third Proportional to 375,055.31 and 580,899.09

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Solution

The third proportional to 375,055.31 and 580,899.09 is: 899,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,055.31 : 580,899.09 = 580,899.09 : x
  2. Step 2: Convert to fraction form
    375,055.31/580,899.09 = 580,899.09/x
  3. Step 3: Cross multiply
    375,055.31x = 580,899.09 × 580,899.09
  4. Step 4: Simplify right side
    375,055.31x = 337,443,757,119.57
  5. Step 5: Solve for x
    x = 337,443,757,119.57/375,055.31
  6. Step 6: Final answer
    x = 899,717.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.