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Finding the Third Proportional to 420,570 and 925,249.50

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Solution

The third proportional to 420,570 and 925,249.50 is: 2,035,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,570 : 925,249.50 = 925,249.50 : x
  2. Step 2: Convert to fraction form
    420,570/925,249.50 = 925,249.50/x
  3. Step 3: Cross multiply
    420,570x = 925,249.50 × 925,249.50
  4. Step 4: Simplify right side
    420,570x = 856,086,637,250.25
  5. Step 5: Solve for x
    x = 856,086,637,250.25/420,570
  6. Step 6: Final answer
    x = 2,035,539.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.