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Finding the Third Proportional to 367,412 and 562,028

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Solution

The third proportional to 367,412 and 562,028 is: 859,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,412 : 562,028 = 562,028 : x
  2. Step 2: Convert to fraction form
    367,412/562,028 = 562,028/x
  3. Step 3: Cross multiply
    367,412x = 562,028 × 562,028
  4. Step 4: Simplify right side
    367,412x = 315,875,472,784
  5. Step 5: Solve for x
    x = 315,875,472,784/367,412
  6. Step 6: Final answer
    x = 859,730.96

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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.