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Finding the Third Proportional to 244,268 and 530,314

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Solution

The third proportional to 244,268 and 530,314 is: 1,151,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,268 : 530,314 = 530,314 : x
  2. Step 2: Convert to fraction form
    244,268/530,314 = 530,314/x
  3. Step 3: Cross multiply
    244,268x = 530,314 × 530,314
  4. Step 4: Simplify right side
    244,268x = 281,232,938,596
  5. Step 5: Solve for x
    x = 281,232,938,596/244,268
  6. Step 6: Final answer
    x = 1,151,329.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.