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Finding the Third Proportional to 274,034 and 430,476.50

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Solution

The third proportional to 274,034 and 430,476.50 is: 676,230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,034 : 430,476.50 = 430,476.50 : x
  2. Step 2: Convert to fraction form
    274,034/430,476.50 = 430,476.50/x
  3. Step 3: Cross multiply
    274,034x = 430,476.50 × 430,476.50
  4. Step 4: Simplify right side
    274,034x = 185,310,017,052.25
  5. Step 5: Solve for x
    x = 185,310,017,052.25/274,034
  6. Step 6: Final answer
    x = 676,230.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.