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Finding the Third Proportional to 470,790 and 707,238

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Solution

The third proportional to 470,790 and 707,238 is: 1,062,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,790 : 707,238 = 707,238 : x
  2. Step 2: Convert to fraction form
    470,790/707,238 = 707,238/x
  3. Step 3: Cross multiply
    470,790x = 707,238 × 707,238
  4. Step 4: Simplify right side
    470,790x = 500,185,588,644
  5. Step 5: Solve for x
    x = 500,185,588,644/470,790
  6. Step 6: Final answer
    x = 1,062,438.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.