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Finding the Third Proportional to 425,529 and 658,865

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Solution

The third proportional to 425,529 and 658,865 is: 1,020,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,529 : 658,865 = 658,865 : x
  2. Step 2: Convert to fraction form
    425,529/658,865 = 658,865/x
  3. Step 3: Cross multiply
    425,529x = 658,865 × 658,865
  4. Step 4: Simplify right side
    425,529x = 434,103,088,225
  5. Step 5: Solve for x
    x = 434,103,088,225/425,529
  6. Step 6: Final answer
    x = 1,020,149.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.