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Finding the Third Proportional to 326,218 and 476,739

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Solution

The third proportional to 326,218 and 476,739 is: 696,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,218 : 476,739 = 476,739 : x
  2. Step 2: Convert to fraction form
    326,218/476,739 = 476,739/x
  3. Step 3: Cross multiply
    326,218x = 476,739 × 476,739
  4. Step 4: Simplify right side
    326,218x = 227,280,074,121
  5. Step 5: Solve for x
    x = 227,280,074,121/326,218
  6. Step 6: Final answer
    x = 696,712.24

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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.