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Finding the Third Proportional to 377,719.88 and 811,346.63

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Solution

The third proportional to 377,719.88 and 811,346.63 is: 1,742,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,719.88 : 811,346.63 = 811,346.63 : x
  2. Step 2: Convert to fraction form
    377,719.88/811,346.63 = 811,346.63/x
  3. Step 3: Cross multiply
    377,719.88x = 811,346.63 × 811,346.63
  4. Step 4: Simplify right side
    377,719.88x = 658,283,345,898.89
  5. Step 5: Solve for x
    x = 658,283,345,898.89/377,719.88
  6. Step 6: Final answer
    x = 1,742,781.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.