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Finding the Third Proportional to 301,689 and 447,315

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Solution

The third proportional to 301,689 and 447,315 is: 663,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,689 : 447,315 = 447,315 : x
  2. Step 2: Convert to fraction form
    301,689/447,315 = 447,315/x
  3. Step 3: Cross multiply
    301,689x = 447,315 × 447,315
  4. Step 4: Simplify right side
    301,689x = 200,090,709,225
  5. Step 5: Solve for x
    x = 200,090,709,225/301,689
  6. Step 6: Final answer
    x = 663,235.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.