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Finding the Third Proportional to 420,567.75 and 922,558.50

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Solution

The third proportional to 420,567.75 and 922,558.50 is: 2,023,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,567.75 : 922,558.50 = 922,558.50 : x
  2. Step 2: Convert to fraction form
    420,567.75/922,558.50 = 922,558.50/x
  3. Step 3: Cross multiply
    420,567.75x = 922,558.50 × 922,558.50
  4. Step 4: Simplify right side
    420,567.75x = 851,114,185,922.25
  5. Step 5: Solve for x
    x = 851,114,185,922.25/420,567.75
  6. Step 6: Final answer
    x = 2,023,726.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.