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Finding the Third Proportional to 375,306.75 and 580,911.75

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Solution

The third proportional to 375,306.75 and 580,911.75 is: 899,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,306.75 : 580,911.75 = 580,911.75 : x
  2. Step 2: Convert to fraction form
    375,306.75/580,911.75 = 580,911.75/x
  3. Step 3: Cross multiply
    375,306.75x = 580,911.75 × 580,911.75
  4. Step 4: Simplify right side
    375,306.75x = 337,458,461,288.06
  5. Step 5: Solve for x
    x = 337,458,461,288.06/375,306.75
  6. Step 6: Final answer
    x = 899,153.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.