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Finding the Third Proportional to 312,124.50 and 673,414.50

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Solution

The third proportional to 312,124.50 and 673,414.50 is: 1,452,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,124.50 : 673,414.50 = 673,414.50 : x
  2. Step 2: Convert to fraction form
    312,124.50/673,414.50 = 673,414.50/x
  3. Step 3: Cross multiply
    312,124.50x = 673,414.50 × 673,414.50
  4. Step 4: Simplify right side
    312,124.50x = 453,487,088,810.25
  5. Step 5: Solve for x
    x = 453,487,088,810.25/312,124.50
  6. Step 6: Final answer
    x = 1,452,904.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.