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Finding the Third Proportional to 211,506.75 and 433,329.75

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Solution

The third proportional to 211,506.75 and 433,329.75 is: 887,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,506.75 : 433,329.75 = 433,329.75 : x
  2. Step 2: Convert to fraction form
    211,506.75/433,329.75 = 433,329.75/x
  3. Step 3: Cross multiply
    211,506.75x = 433,329.75 × 433,329.75
  4. Step 4: Simplify right side
    211,506.75x = 187,774,672,235.06
  5. Step 5: Solve for x
    x = 187,774,672,235.06/211,506.75
  6. Step 6: Final answer
    x = 887,795.18

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.