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Finding the Third Proportional to 423,269.50 and 903,942.50

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Solution

The third proportional to 423,269.50 and 903,942.50 is: 1,930,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,269.50 : 903,942.50 = 903,942.50 : x
  2. Step 2: Convert to fraction form
    423,269.50/903,942.50 = 903,942.50/x
  3. Step 3: Cross multiply
    423,269.50x = 903,942.50 × 903,942.50
  4. Step 4: Simplify right side
    423,269.50x = 817,112,043,306.25
  5. Step 5: Solve for x
    x = 817,112,043,306.25/423,269.50
  6. Step 6: Final answer
    x = 1,930,477.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.