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Finding the Third Proportional to 401,460 and 587,114

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Solution

The third proportional to 401,460 and 587,114 is: 858,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,460 : 587,114 = 587,114 : x
  2. Step 2: Convert to fraction form
    401,460/587,114 = 587,114/x
  3. Step 3: Cross multiply
    401,460x = 587,114 × 587,114
  4. Step 4: Simplify right side
    401,460x = 344,702,848,996
  5. Step 5: Solve for x
    x = 344,702,848,996/401,460
  6. Step 6: Final answer
    x = 858,623.15

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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.