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Finding the Third Proportional to 332,717.63 and 721,482.19

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Solution

The third proportional to 332,717.63 and 721,482.19 is: 1,564,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,717.63 : 721,482.19 = 721,482.19 : x
  2. Step 2: Convert to fraction form
    332,717.63/721,482.19 = 721,482.19/x
  3. Step 3: Cross multiply
    332,717.63x = 721,482.19 × 721,482.19
  4. Step 4: Simplify right side
    332,717.63x = 520,536,546,879.79
  5. Step 5: Solve for x
    x = 520,536,546,879.79/332,717.63
  6. Step 6: Final answer
    x = 1,564,499.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.