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Finding the Third Proportional to 244,264.50 and 538,224

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Solution

The third proportional to 244,264.50 and 538,224 is: 1,185,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,264.50 : 538,224 = 538,224 : x
  2. Step 2: Convert to fraction form
    244,264.50/538,224 = 538,224/x
  3. Step 3: Cross multiply
    244,264.50x = 538,224 × 538,224
  4. Step 4: Simplify right side
    244,264.50x = 289,685,074,176
  5. Step 5: Solve for x
    x = 289,685,074,176/244,264.50
  6. Step 6: Final answer
    x = 1,185,948.32

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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.