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Finding the Third Proportional to 274,035 and 430,479

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Solution

The third proportional to 274,035 and 430,479 is: 676,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,035 : 430,479 = 430,479 : x
  2. Step 2: Convert to fraction form
    274,035/430,479 = 430,479/x
  3. Step 3: Cross multiply
    274,035x = 430,479 × 430,479
  4. Step 4: Simplify right side
    274,035x = 185,312,169,441
  5. Step 5: Solve for x
    x = 185,312,169,441/274,035
  6. Step 6: Final answer
    x = 676,235.41

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Why These Related Problems?

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