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Finding the Third Proportional to 311,877 and 528,813

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Solution

The third proportional to 311,877 and 528,813 is: 896,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,877 : 528,813 = 528,813 : x
  2. Step 2: Convert to fraction form
    311,877/528,813 = 528,813/x
  3. Step 3: Cross multiply
    311,877x = 528,813 × 528,813
  4. Step 4: Simplify right side
    311,877x = 279,643,188,969
  5. Step 5: Solve for x
    x = 279,643,188,969/311,877
  6. Step 6: Final answer
    x = 896,645.76

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.