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Finding the Third Proportional to 315,631.69 and 676,122.19

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Solution

The third proportional to 315,631.69 and 676,122.19 is: 1,448,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,631.69 : 676,122.19 = 676,122.19 : x
  2. Step 2: Convert to fraction form
    315,631.69/676,122.19 = 676,122.19/x
  3. Step 3: Cross multiply
    315,631.69x = 676,122.19 × 676,122.19
  4. Step 4: Simplify right side
    315,631.69x = 457,141,212,429.79
  5. Step 5: Solve for x
    x = 457,141,212,429.79/315,631.69
  6. Step 6: Final answer
    x = 1,448,337.51

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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.