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Finding the Third Proportional to 432,174 and 654,226

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Solution

The third proportional to 432,174 and 654,226 is: 990,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,174 : 654,226 = 654,226 : x
  2. Step 2: Convert to fraction form
    432,174/654,226 = 654,226/x
  3. Step 3: Cross multiply
    432,174x = 654,226 × 654,226
  4. Step 4: Simplify right side
    432,174x = 428,011,659,076
  5. Step 5: Solve for x
    x = 428,011,659,076/432,174
  6. Step 6: Final answer
    x = 990,368.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.