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Finding the Third Proportional to 423,352.13 and 905,622.75

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Solution

The third proportional to 423,352.13 and 905,622.75 is: 1,937,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,352.13 : 905,622.75 = 905,622.75 : x
  2. Step 2: Convert to fraction form
    423,352.13/905,622.75 = 905,622.75/x
  3. Step 3: Cross multiply
    423,352.13x = 905,622.75 × 905,622.75
  4. Step 4: Simplify right side
    423,352.13x = 820,152,565,317.56
  5. Step 5: Solve for x
    x = 820,152,565,317.56/423,352.13
  6. Step 6: Final answer
    x = 1,937,282.27

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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.