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Finding the Third Proportional to 677,642.63 and 903,403.13

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Solution

The third proportional to 677,642.63 and 903,403.13 is: 1,204,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,642.63 : 903,403.13 = 903,403.13 : x
  2. Step 2: Convert to fraction form
    677,642.63/903,403.13 = 903,403.13/x
  3. Step 3: Cross multiply
    677,642.63x = 903,403.13 × 903,403.13
  4. Step 4: Simplify right side
    677,642.63x = 816,137,206,259.77
  5. Step 5: Solve for x
    x = 816,137,206,259.77/677,642.63
  6. Step 6: Final answer
    x = 1,204,377.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.