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Finding the Third Proportional to 233,130.38 and 482,845.50

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Solution

The third proportional to 233,130.38 and 482,845.50 is: 1,000,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,130.38 : 482,845.50 = 482,845.50 : x
  2. Step 2: Convert to fraction form
    233,130.38/482,845.50 = 482,845.50/x
  3. Step 3: Cross multiply
    233,130.38x = 482,845.50 × 482,845.50
  4. Step 4: Simplify right side
    233,130.38x = 233,139,776,870.25
  5. Step 5: Solve for x
    x = 233,139,776,870.25/233,130.38
  6. Step 6: Final answer
    x = 1,000,040.33

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.