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Finding the Third Proportional to 447,363 and 677,559.94

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Solution

The third proportional to 447,363 and 677,559.94 is: 1,026,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,363 : 677,559.94 = 677,559.94 : x
  2. Step 2: Convert to fraction form
    447,363/677,559.94 = 677,559.94/x
  3. Step 3: Cross multiply
    447,363x = 677,559.94 × 677,559.94
  4. Step 4: Simplify right side
    447,363x = 459,087,468,905.00
  5. Step 5: Solve for x
    x = 459,087,468,905.00/447,363
  6. Step 6: Final answer
    x = 1,026,207.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.