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Finding the Third Proportional to 435,546 and 664,390.50

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Solution

The third proportional to 435,546 and 664,390.50 is: 1,013,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,546 : 664,390.50 = 664,390.50 : x
  2. Step 2: Convert to fraction form
    435,546/664,390.50 = 664,390.50/x
  3. Step 3: Cross multiply
    435,546x = 664,390.50 × 664,390.50
  4. Step 4: Simplify right side
    435,546x = 441,414,736,490.25
  5. Step 5: Solve for x
    x = 441,414,736,490.25/435,546
  6. Step 6: Final answer
    x = 1,013,474.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.