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Finding the Third Proportional to 375,379 and 809,807.50

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Solution

The third proportional to 375,379 and 809,807.50 is: 1,747,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,379 : 809,807.50 = 809,807.50 : x
  2. Step 2: Convert to fraction form
    375,379/809,807.50 = 809,807.50/x
  3. Step 3: Cross multiply
    375,379x = 809,807.50 × 809,807.50
  4. Step 4: Simplify right side
    375,379x = 655,788,187,056.25
  5. Step 5: Solve for x
    x = 655,788,187,056.25/375,379
  6. Step 6: Final answer
    x = 1,747,002.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.