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Finding the Third Proportional to 264,459.94 and 476,430.19

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Solution

The third proportional to 264,459.94 and 476,430.19 is: 858,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,459.94 : 476,430.19 = 476,430.19 : x
  2. Step 2: Convert to fraction form
    264,459.94/476,430.19 = 476,430.19/x
  3. Step 3: Cross multiply
    264,459.94x = 476,430.19 × 476,430.19
  4. Step 4: Simplify right side
    264,459.94x = 226,985,723,561.29
  5. Step 5: Solve for x
    x = 226,985,723,561.29/264,459.94
  6. Step 6: Final answer
    x = 858,299.09

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.