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Finding the Third Proportional to 316,003.50 and 447,133.50

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Solution

The third proportional to 316,003.50 and 447,133.50 is: 632,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,003.50 : 447,133.50 = 447,133.50 : x
  2. Step 2: Convert to fraction form
    316,003.50/447,133.50 = 447,133.50/x
  3. Step 3: Cross multiply
    316,003.50x = 447,133.50 × 447,133.50
  4. Step 4: Simplify right side
    316,003.50x = 199,928,366,822.25
  5. Step 5: Solve for x
    x = 199,928,366,822.25/316,003.50
  6. Step 6: Final answer
    x = 632,677.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.