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Finding the Third Proportional to 409,426.50 and 654,006.75

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Solution

The third proportional to 409,426.50 and 654,006.75 is: 1,044,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,426.50 : 654,006.75 = 654,006.75 : x
  2. Step 2: Convert to fraction form
    409,426.50/654,006.75 = 654,006.75/x
  3. Step 3: Cross multiply
    409,426.50x = 654,006.75 × 654,006.75
  4. Step 4: Simplify right side
    409,426.50x = 427,724,829,045.56
  5. Step 5: Solve for x
    x = 427,724,829,045.56/409,426.50
  6. Step 6: Final answer
    x = 1,044,692.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.