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Finding the Third Proportional to 211,696.50 and 456,630

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Solution

The third proportional to 211,696.50 and 456,630 is: 984,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,696.50 : 456,630 = 456,630 : x
  2. Step 2: Convert to fraction form
    211,696.50/456,630 = 456,630/x
  3. Step 3: Cross multiply
    211,696.50x = 456,630 × 456,630
  4. Step 4: Simplify right side
    211,696.50x = 208,510,956,900
  5. Step 5: Solve for x
    x = 208,510,956,900/211,696.50
  6. Step 6: Final answer
    x = 984,952.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.