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Finding the Third Proportional to 234,964 and 482,378

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Solution

The third proportional to 234,964 and 482,378 is: 990,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,964 : 482,378 = 482,378 : x
  2. Step 2: Convert to fraction form
    234,964/482,378 = 482,378/x
  3. Step 3: Cross multiply
    234,964x = 482,378 × 482,378
  4. Step 4: Simplify right side
    234,964x = 232,688,534,884
  5. Step 5: Solve for x
    x = 232,688,534,884/234,964
  6. Step 6: Final answer
    x = 990,315.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.