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Finding the Third Proportional to 421,747.50 and 925,964

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Solution

The third proportional to 421,747.50 and 925,964 is: 2,032,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,747.50 : 925,964 = 925,964 : x
  2. Step 2: Convert to fraction form
    421,747.50/925,964 = 925,964/x
  3. Step 3: Cross multiply
    421,747.50x = 925,964 × 925,964
  4. Step 4: Simplify right side
    421,747.50x = 857,409,329,296
  5. Step 5: Solve for x
    x = 857,409,329,296/421,747.50
  6. Step 6: Final answer
    x = 2,032,992.08

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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.