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Finding the Third Proportional to 455,814 and 663,729.75

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Solution

The third proportional to 455,814 and 663,729.75 is: 966,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,814 : 663,729.75 = 663,729.75 : x
  2. Step 2: Convert to fraction form
    455,814/663,729.75 = 663,729.75/x
  3. Step 3: Cross multiply
    455,814x = 663,729.75 × 663,729.75
  4. Step 4: Simplify right side
    455,814x = 440,537,181,035.06
  5. Step 5: Solve for x
    x = 440,537,181,035.06/455,814
  6. Step 6: Final answer
    x = 966,484.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.