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Finding the Third Proportional to 317,876.06 and 476,814.94

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Solution

The third proportional to 317,876.06 and 476,814.94 is: 715,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,876.06 : 476,814.94 = 476,814.94 : x
  2. Step 2: Convert to fraction form
    317,876.06/476,814.94 = 476,814.94/x
  3. Step 3: Cross multiply
    317,876.06x = 476,814.94 × 476,814.94
  4. Step 4: Simplify right side
    317,876.06x = 227,352,484,623.13
  5. Step 5: Solve for x
    x = 227,352,484,623.13/317,876.06
  6. Step 6: Final answer
    x = 715,223.67

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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.