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Finding the Third Proportional to 323,005 and 495,804

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Solution

The third proportional to 323,005 and 495,804 is: 761,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,005 : 495,804 = 495,804 : x
  2. Step 2: Convert to fraction form
    323,005/495,804 = 495,804/x
  3. Step 3: Cross multiply
    323,005x = 495,804 × 495,804
  4. Step 4: Simplify right side
    323,005x = 245,821,606,416
  5. Step 5: Solve for x
    x = 245,821,606,416/323,005
  6. Step 6: Final answer
    x = 761,045.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.