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Finding the Third Proportional to 438,002 and 484,082

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Solution

The third proportional to 438,002 and 484,082 is: 535,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,002 : 484,082 = 484,082 : x
  2. Step 2: Convert to fraction form
    438,002/484,082 = 484,082/x
  3. Step 3: Cross multiply
    438,002x = 484,082 × 484,082
  4. Step 4: Simplify right side
    438,002x = 234,335,382,724
  5. Step 5: Solve for x
    x = 234,335,382,724/438,002
  6. Step 6: Final answer
    x = 535,009.85

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.