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Finding the Third Proportional to 415,158.75 and 899,169.75

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Solution

The third proportional to 415,158.75 and 899,169.75 is: 1,947,462.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,158.75 : 899,169.75 = 899,169.75 : x
  2. Step 2: Convert to fraction form
    415,158.75/899,169.75 = 899,169.75/x
  3. Step 3: Cross multiply
    415,158.75x = 899,169.75 × 899,169.75
  4. Step 4: Simplify right side
    415,158.75x = 808,506,239,315.06
  5. Step 5: Solve for x
    x = 808,506,239,315.06/415,158.75
  6. Step 6: Final answer
    x = 1,947,462.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.