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Finding the Third Proportional to 311,048 and 470,892

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Solution

The third proportional to 311,048 and 470,892 is: 712,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,048 : 470,892 = 470,892 : x
  2. Step 2: Convert to fraction form
    311,048/470,892 = 470,892/x
  3. Step 3: Cross multiply
    311,048x = 470,892 × 470,892
  4. Step 4: Simplify right side
    311,048x = 221,739,275,664
  5. Step 5: Solve for x
    x = 221,739,275,664/311,048
  6. Step 6: Final answer
    x = 712,878.00

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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.