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Finding the Third Proportional to 244,281 and 538,269

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Solution

The third proportional to 244,281 and 538,269 is: 1,186,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,281 : 538,269 = 538,269 : x
  2. Step 2: Convert to fraction form
    244,281/538,269 = 538,269/x
  3. Step 3: Cross multiply
    244,281x = 538,269 × 538,269
  4. Step 4: Simplify right side
    244,281x = 289,733,516,361
  5. Step 5: Solve for x
    x = 289,733,516,361/244,281
  6. Step 6: Final answer
    x = 1,186,066.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.