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Finding the Third Proportional to 236,965.50 and 521,964

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Solution

The third proportional to 236,965.50 and 521,964 is: 1,149,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,965.50 : 521,964 = 521,964 : x
  2. Step 2: Convert to fraction form
    236,965.50/521,964 = 521,964/x
  3. Step 3: Cross multiply
    236,965.50x = 521,964 × 521,964
  4. Step 4: Simplify right side
    236,965.50x = 272,446,417,296
  5. Step 5: Solve for x
    x = 272,446,417,296/236,965.50
  6. Step 6: Final answer
    x = 1,149,730.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.