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Finding the Third Proportional to 245,082 and 538,492

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Solution

The third proportional to 245,082 and 538,492 is: 1,183,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,082 : 538,492 = 538,492 : x
  2. Step 2: Convert to fraction form
    245,082/538,492 = 538,492/x
  3. Step 3: Cross multiply
    245,082x = 538,492 × 538,492
  4. Step 4: Simplify right side
    245,082x = 289,973,634,064
  5. Step 5: Solve for x
    x = 289,973,634,064/245,082
  6. Step 6: Final answer
    x = 1,183,169.85

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Why These Related Problems?

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