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Finding the Third Proportional to 215,518.38 and 468,341.25

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Solution

The third proportional to 215,518.38 and 468,341.25 is: 1,017,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,518.38 : 468,341.25 = 468,341.25 : x
  2. Step 2: Convert to fraction form
    215,518.38/468,341.25 = 468,341.25/x
  3. Step 3: Cross multiply
    215,518.38x = 468,341.25 × 468,341.25
  4. Step 4: Simplify right side
    215,518.38x = 219,343,526,451.56
  5. Step 5: Solve for x
    x = 219,343,526,451.56/215,518.38
  6. Step 6: Final answer
    x = 1,017,748.61

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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.