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Finding the Third Proportional to 206,580 and 437,964

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Solution

The third proportional to 206,580 and 437,964 is: 928,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580 : 437,964 = 437,964 : x
  2. Step 2: Convert to fraction form
    206,580/437,964 = 437,964/x
  3. Step 3: Cross multiply
    206,580x = 437,964 × 437,964
  4. Step 4: Simplify right side
    206,580x = 191,812,465,296
  5. Step 5: Solve for x
    x = 191,812,465,296/206,580
  6. Step 6: Final answer
    x = 928,514.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.