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Finding the Third Proportional to 361,311.75 and 786,966.75

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Solution

The third proportional to 361,311.75 and 786,966.75 is: 1,714,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,311.75 : 786,966.75 = 786,966.75 : x
  2. Step 2: Convert to fraction form
    361,311.75/786,966.75 = 786,966.75/x
  3. Step 3: Cross multiply
    361,311.75x = 786,966.75 × 786,966.75
  4. Step 4: Simplify right side
    361,311.75x = 619,316,665,605.56
  5. Step 5: Solve for x
    x = 619,316,665,605.56/361,311.75
  6. Step 6: Final answer
    x = 1,714,078.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.