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Finding the Third Proportional to 401,523 and 587,178

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Solution

The third proportional to 401,523 and 587,178 is: 858,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,523 : 587,178 = 587,178 : x
  2. Step 2: Convert to fraction form
    401,523/587,178 = 587,178/x
  3. Step 3: Cross multiply
    401,523x = 587,178 × 587,178
  4. Step 4: Simplify right side
    401,523x = 344,778,003,684
  5. Step 5: Solve for x
    x = 344,778,003,684/401,523
  6. Step 6: Final answer
    x = 858,675.60

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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.