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Finding the Third Proportional to 375,916.75 and 826,262

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Solution

The third proportional to 375,916.75 and 826,262 is: 1,816,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,916.75 : 826,262 = 826,262 : x
  2. Step 2: Convert to fraction form
    375,916.75/826,262 = 826,262/x
  3. Step 3: Cross multiply
    375,916.75x = 826,262 × 826,262
  4. Step 4: Simplify right side
    375,916.75x = 682,708,892,644
  5. Step 5: Solve for x
    x = 682,708,892,644/375,916.75
  6. Step 6: Final answer
    x = 1,816,117.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.