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Finding the Third Proportional to 214,543.69 and 476,133.19

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Solution

The third proportional to 214,543.69 and 476,133.19 is: 1,056,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,543.69 : 476,133.19 = 476,133.19 : x
  2. Step 2: Convert to fraction form
    214,543.69/476,133.19 = 476,133.19/x
  3. Step 3: Cross multiply
    214,543.69x = 476,133.19 × 476,133.19
  4. Step 4: Simplify right side
    214,543.69x = 226,702,812,238.91
  5. Step 5: Solve for x
    x = 226,702,812,238.91/214,543.69
  6. Step 6: Final answer
    x = 1,056,674.35

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.