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Finding the Third Proportional to 619,934.77 and 948,372.05

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Solution

The third proportional to 619,934.77 and 948,372.05 is: 1,450,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,934.77 : 948,372.05 = 948,372.05 : x
  2. Step 2: Convert to fraction form
    619,934.77/948,372.05 = 948,372.05/x
  3. Step 3: Cross multiply
    619,934.77x = 948,372.05 × 948,372.05
  4. Step 4: Simplify right side
    619,934.77x = 899,409,539,293.88
  5. Step 5: Solve for x
    x = 899,409,539,293.88/619,934.77
  6. Step 6: Final answer
    x = 1,450,813.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.