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Finding the Third Proportional to 415,852 and 643,650

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Solution

The third proportional to 415,852 and 643,650 is: 996,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,852 : 643,650 = 643,650 : x
  2. Step 2: Convert to fraction form
    415,852/643,650 = 643,650/x
  3. Step 3: Cross multiply
    415,852x = 643,650 × 643,650
  4. Step 4: Simplify right side
    415,852x = 414,285,322,500
  5. Step 5: Solve for x
    x = 414,285,322,500/415,852
  6. Step 6: Final answer
    x = 996,232.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.