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Finding the Third Proportional to 419,266.13 and 592,692.19

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Solution

The third proportional to 419,266.13 and 592,692.19 is: 837,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,266.13 : 592,692.19 = 592,692.19 : x
  2. Step 2: Convert to fraction form
    419,266.13/592,692.19 = 592,692.19/x
  3. Step 3: Cross multiply
    419,266.13x = 592,692.19 × 592,692.19
  4. Step 4: Simplify right side
    419,266.13x = 351,284,029,123.54
  5. Step 5: Solve for x
    x = 351,284,029,123.54/419,266.13
  6. Step 6: Final answer
    x = 837,854.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.