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Finding the Third Proportional to 415,269 and 905,575.50

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Solution

The third proportional to 415,269 and 905,575.50 is: 1,974,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,269 : 905,575.50 = 905,575.50 : x
  2. Step 2: Convert to fraction form
    415,269/905,575.50 = 905,575.50/x
  3. Step 3: Cross multiply
    415,269x = 905,575.50 × 905,575.50
  4. Step 4: Simplify right side
    415,269x = 820,066,986,200.25
  5. Step 5: Solve for x
    x = 820,066,986,200.25/415,269
  6. Step 6: Final answer
    x = 1,974,784.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.