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Finding the Third Proportional to 435,132 and 675,175.50

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Solution

The third proportional to 435,132 and 675,175.50 is: 1,047,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,132 : 675,175.50 = 675,175.50 : x
  2. Step 2: Convert to fraction form
    435,132/675,175.50 = 675,175.50/x
  3. Step 3: Cross multiply
    435,132x = 675,175.50 × 675,175.50
  4. Step 4: Simplify right side
    435,132x = 455,861,955,800.25
  5. Step 5: Solve for x
    x = 455,861,955,800.25/435,132
  6. Step 6: Final answer
    x = 1,047,640.61

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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.