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Finding the Third Proportional to 401,442.50 and 587,090.50

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Solution

The third proportional to 401,442.50 and 587,090.50 is: 858,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,442.50 : 587,090.50 = 587,090.50 : x
  2. Step 2: Convert to fraction form
    401,442.50/587,090.50 = 587,090.50/x
  3. Step 3: Cross multiply
    401,442.50x = 587,090.50 × 587,090.50
  4. Step 4: Simplify right side
    401,442.50x = 344,675,255,190.25
  5. Step 5: Solve for x
    x = 344,675,255,190.25/401,442.50
  6. Step 6: Final answer
    x = 858,591.84

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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.