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Finding the Third Proportional to 713,448.50 and 1,044,576.75

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Solution

The third proportional to 713,448.50 and 1,044,576.75 is: 1,529,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,448.50 : 1,044,576.75 = 1,044,576.75 : x
  2. Step 2: Convert to fraction form
    713,448.50/1,044,576.75 = 1,044,576.75/x
  3. Step 3: Cross multiply
    713,448.50x = 1,044,576.75 × 1,044,576.75
  4. Step 4: Simplify right side
    713,448.50x = 1,091,140,586,640.56
  5. Step 5: Solve for x
    x = 1,091,140,586,640.56/713,448.50
  6. Step 6: Final answer
    x = 1,529,389.42

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.