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Finding the Third Proportional to 393,123.50 and 589,068.50

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Solution

The third proportional to 393,123.50 and 589,068.50 is: 882,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,123.50 : 589,068.50 = 589,068.50 : x
  2. Step 2: Convert to fraction form
    393,123.50/589,068.50 = 589,068.50/x
  3. Step 3: Cross multiply
    393,123.50x = 589,068.50 × 589,068.50
  4. Step 4: Simplify right side
    393,123.50x = 347,001,697,692.25
  5. Step 5: Solve for x
    x = 347,001,697,692.25/393,123.50
  6. Step 6: Final answer
    x = 882,678.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.