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Finding the Third Proportional to 401,442.75 and 587,093.06

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Solution

The third proportional to 401,442.75 and 587,093.06 is: 858,598.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,442.75 : 587,093.06 = 587,093.06 : x
  2. Step 2: Convert to fraction form
    401,442.75/587,093.06 = 587,093.06/x
  3. Step 3: Cross multiply
    401,442.75x = 587,093.06 × 587,093.06
  4. Step 4: Simplify right side
    401,442.75x = 344,678,264,035.63
  5. Step 5: Solve for x
    x = 344,678,264,035.63/401,442.75
  6. Step 6: Final answer
    x = 858,598.80

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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.