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Finding the Third Proportional to 233,379 and 362,068.50

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Solution

The third proportional to 233,379 and 362,068.50 is: 561,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,379 : 362,068.50 = 362,068.50 : x
  2. Step 2: Convert to fraction form
    233,379/362,068.50 = 362,068.50/x
  3. Step 3: Cross multiply
    233,379x = 362,068.50 × 362,068.50
  4. Step 4: Simplify right side
    233,379x = 131,093,598,692.25
  5. Step 5: Solve for x
    x = 131,093,598,692.25/233,379
  6. Step 6: Final answer
    x = 561,719.77

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