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Finding the Third Proportional to 435,896 and 654,284

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Solution

The third proportional to 435,896 and 654,284 is: 982,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,896 : 654,284 = 654,284 : x
  2. Step 2: Convert to fraction form
    435,896/654,284 = 654,284/x
  3. Step 3: Cross multiply
    435,896x = 654,284 × 654,284
  4. Step 4: Simplify right side
    435,896x = 428,087,552,656
  5. Step 5: Solve for x
    x = 428,087,552,656/435,896
  6. Step 6: Final answer
    x = 982,086.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.