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Finding the Third Proportional to 367,394.50 and 562,000

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Solution

The third proportional to 367,394.50 and 562,000 is: 859,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,394.50 : 562,000 = 562,000 : x
  2. Step 2: Convert to fraction form
    367,394.50/562,000 = 562,000/x
  3. Step 3: Cross multiply
    367,394.50x = 562,000 × 562,000
  4. Step 4: Simplify right side
    367,394.50x = 315,844,000,000
  5. Step 5: Solve for x
    x = 315,844,000,000/367,394.50
  6. Step 6: Final answer
    x = 859,686.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.