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Finding the Third Proportional to 311,286 and 469,737

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Solution

The third proportional to 311,286 and 469,737 is: 708,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,286 : 469,737 = 469,737 : x
  2. Step 2: Convert to fraction form
    311,286/469,737 = 469,737/x
  3. Step 3: Cross multiply
    311,286x = 469,737 × 469,737
  4. Step 4: Simplify right side
    311,286x = 220,652,849,169
  5. Step 5: Solve for x
    x = 220,652,849,169/311,286
  6. Step 6: Final answer
    x = 708,842.83

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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.