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Finding the Third Proportional to 326,214 and 476,733

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Solution

The third proportional to 326,214 and 476,733 is: 696,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,214 : 476,733 = 476,733 : x
  2. Step 2: Convert to fraction form
    326,214/476,733 = 476,733/x
  3. Step 3: Cross multiply
    326,214x = 476,733 × 476,733
  4. Step 4: Simplify right side
    326,214x = 227,274,353,289
  5. Step 5: Solve for x
    x = 227,274,353,289/326,214
  6. Step 6: Final answer
    x = 696,703.25

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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.