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Finding the Third Proportional to 276,273 and 426,613.50

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Solution

The third proportional to 276,273 and 426,613.50 is: 658,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,273 : 426,613.50 = 426,613.50 : x
  2. Step 2: Convert to fraction form
    276,273/426,613.50 = 426,613.50/x
  3. Step 3: Cross multiply
    276,273x = 426,613.50 × 426,613.50
  4. Step 4: Simplify right side
    276,273x = 181,999,078,382.25
  5. Step 5: Solve for x
    x = 181,999,078,382.25/276,273
  6. Step 6: Final answer
    x = 658,765.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.