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Finding the Third Proportional to 363,624.19 and 791,339.63

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Solution

The third proportional to 363,624.19 and 791,339.63 is: 1,722,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,624.19 : 791,339.63 = 791,339.63 : x
  2. Step 2: Convert to fraction form
    363,624.19/791,339.63 = 791,339.63/x
  3. Step 3: Cross multiply
    363,624.19x = 791,339.63 × 791,339.63
  4. Step 4: Simplify right side
    363,624.19x = 626,218,402,095.14
  5. Step 5: Solve for x
    x = 626,218,402,095.14/363,624.19
  6. Step 6: Final answer
    x = 1,722,158.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.