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Finding the Third Proportional to 311,932 and 470,114

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Solution

The third proportional to 311,932 and 470,114 is: 708,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,932 : 470,114 = 470,114 : x
  2. Step 2: Convert to fraction form
    311,932/470,114 = 470,114/x
  3. Step 3: Cross multiply
    311,932x = 470,114 × 470,114
  4. Step 4: Simplify right side
    311,932x = 221,007,172,996
  5. Step 5: Solve for x
    x = 221,007,172,996/311,932
  6. Step 6: Final answer
    x = 708,510.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.