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Finding the Third Proportional to 226,675 and 469,730

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Solution

The third proportional to 226,675 and 469,730 is: 973,403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,675 : 469,730 = 469,730 : x
  2. Step 2: Convert to fraction form
    226,675/469,730 = 469,730/x
  3. Step 3: Cross multiply
    226,675x = 469,730 × 469,730
  4. Step 4: Simplify right side
    226,675x = 220,646,272,900
  5. Step 5: Solve for x
    x = 220,646,272,900/226,675
  6. Step 6: Final answer
    x = 973,403.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.