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Finding the Third Proportional to 314,715.38 and 673,603.59

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Solution

The third proportional to 314,715.38 and 673,603.59 is: 1,441,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,715.38 : 673,603.59 = 673,603.59 : x
  2. Step 2: Convert to fraction form
    314,715.38/673,603.59 = 673,603.59/x
  3. Step 3: Cross multiply
    314,715.38x = 673,603.59 × 673,603.59
  4. Step 4: Simplify right side
    314,715.38x = 453,741,801,512.92
  5. Step 5: Solve for x
    x = 453,741,801,512.92/314,715.38
  6. Step 6: Final answer
    x = 1,441,752.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.