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Finding the Third Proportional to 416,109.50 and 895,419

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Solution

The third proportional to 416,109.50 and 895,419 is: 1,926,837.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,109.50 : 895,419 = 895,419 : x
  2. Step 2: Convert to fraction form
    416,109.50/895,419 = 895,419/x
  3. Step 3: Cross multiply
    416,109.50x = 895,419 × 895,419
  4. Step 4: Simplify right side
    416,109.50x = 801,775,185,561
  5. Step 5: Solve for x
    x = 801,775,185,561/416,109.50
  6. Step 6: Final answer
    x = 1,926,837.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.