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Finding the Third Proportional to 435,906 and 654,294

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Solution

The third proportional to 435,906 and 654,294 is: 982,093.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,906 : 654,294 = 654,294 : x
  2. Step 2: Convert to fraction form
    435,906/654,294 = 654,294/x
  3. Step 3: Cross multiply
    435,906x = 654,294 × 654,294
  4. Step 4: Simplify right side
    435,906x = 428,100,638,436
  5. Step 5: Solve for x
    x = 428,100,638,436/435,906
  6. Step 6: Final answer
    x = 982,093.93

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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.