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Finding the Third Proportional to 397,565.72 and 938,400.19

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Solution

The third proportional to 397,565.72 and 938,400.19 is: 2,214,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,565.72 : 938,400.19 = 938,400.19 : x
  2. Step 2: Convert to fraction form
    397,565.72/938,400.19 = 938,400.19/x
  3. Step 3: Cross multiply
    397,565.72x = 938,400.19 × 938,400.19
  4. Step 4: Simplify right side
    397,565.72x = 880,594,911,900.04
  5. Step 5: Solve for x
    x = 880,594,911,900.04/397,565.72
  6. Step 6: Final answer
    x = 2,214,966.91

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.