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Finding the Third Proportional to 229,787 and 330,964

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Solution

The third proportional to 229,787 and 330,964 is: 476,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,787 : 330,964 = 330,964 : x
  2. Step 2: Convert to fraction form
    229,787/330,964 = 330,964/x
  3. Step 3: Cross multiply
    229,787x = 330,964 × 330,964
  4. Step 4: Simplify right side
    229,787x = 109,537,169,296
  5. Step 5: Solve for x
    x = 109,537,169,296/229,787
  6. Step 6: Final answer
    x = 476,690.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.