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Finding the Third Proportional to 401,434.75 and 587,079.50

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Solution

The third proportional to 401,434.75 and 587,079.50 is: 858,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,434.75 : 587,079.50 = 587,079.50 : x
  2. Step 2: Convert to fraction form
    401,434.75/587,079.50 = 587,079.50/x
  3. Step 3: Cross multiply
    401,434.75x = 587,079.50 × 587,079.50
  4. Step 4: Simplify right side
    401,434.75x = 344,662,339,320.25
  5. Step 5: Solve for x
    x = 344,662,339,320.25/401,434.75
  6. Step 6: Final answer
    x = 858,576.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.