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Finding the Third Proportional to 415,549.50 and 897,555

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Solution

The third proportional to 415,549.50 and 897,555 is: 1,938,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,549.50 : 897,555 = 897,555 : x
  2. Step 2: Convert to fraction form
    415,549.50/897,555 = 897,555/x
  3. Step 3: Cross multiply
    415,549.50x = 897,555 × 897,555
  4. Step 4: Simplify right side
    415,549.50x = 805,604,978,025
  5. Step 5: Solve for x
    x = 805,604,978,025/415,549.50
  6. Step 6: Final answer
    x = 1,938,649.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.