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Finding the Third Proportional to 233,037 and 404,554.50

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Solution

The third proportional to 233,037 and 404,554.50 is: 702,310.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,037 : 404,554.50 = 404,554.50 : x
  2. Step 2: Convert to fraction form
    233,037/404,554.50 = 404,554.50/x
  3. Step 3: Cross multiply
    233,037x = 404,554.50 × 404,554.50
  4. Step 4: Simplify right side
    233,037x = 163,664,343,470.25
  5. Step 5: Solve for x
    x = 163,664,343,470.25/233,037
  6. Step 6: Final answer
    x = 702,310.55

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.