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Finding the Third Proportional to 338,796 and 495,477

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Solution

The third proportional to 338,796 and 495,477 is: 724,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,796 : 495,477 = 495,477 : x
  2. Step 2: Convert to fraction form
    338,796/495,477 = 495,477/x
  3. Step 3: Cross multiply
    338,796x = 495,477 × 495,477
  4. Step 4: Simplify right side
    338,796x = 245,497,457,529
  5. Step 5: Solve for x
    x = 245,497,457,529/338,796
  6. Step 6: Final answer
    x = 724,617.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.