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Finding the Third Proportional to 421,659.88 and 925,355.88

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Solution

The third proportional to 421,659.88 and 925,355.88 is: 2,030,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,659.88 : 925,355.88 = 925,355.88 : x
  2. Step 2: Convert to fraction form
    421,659.88/925,355.88 = 925,355.88/x
  3. Step 3: Cross multiply
    421,659.88x = 925,355.88 × 925,355.88
  4. Step 4: Simplify right side
    421,659.88x = 856,283,495,397.02
  5. Step 5: Solve for x
    x = 856,283,495,397.02/421,659.88
  6. Step 6: Final answer
    x = 2,030,744.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.